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Solve for the unknown, and then check your solution.$$13-5 x+3(2 x-9)=12 x$$

$$-14 / 11$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Campbell University

McMaster University

Idaho State University

Lectures

01:18

Solve.$$13 x-9+2 x…

01:11

Solve.$$13(x-2)+15…

02:03

Solve and check.$$9-2(…

00:43

Solve.$$x-(9-x)=-3…

01:27

Solve each equation.$$…

00:42

Solve and check.$$9 x-…

Solve.$$13-9 x=49+…

00:56

Solve $5-3(x-9)+4 x=3(x-8)…

00:20

Solve each equation for $x…

00:54

Solve the equation.$$9…

01:41

Solve each equation, and c…

s so we have to follow in. Linear Equation 13 minutes, five X plus three times in parentheses, two x minus nine equals 12 x and we're gonna try to solve for X, which is a linear equation because it's recently to the power of one. And both expressions showed equal each other. And we know that addition and subtraction under each other and also multiplication and division under each other. So in order to solve this first we have to simplify, and we'll see if we could distribute any numbers and we can we could distribute the three on two these two values to X and negative nine. So we'll distribute three times two x and three times negative nine. So we're gonna have 13. And it's five x plus three thanks to the six treating so like six x minus becomes thing that's 27 that's equal to 12 X now. Well, I'd like values. So we have five x and six x. Well, we have negative five x plus six x, so that's positive. One x are simply just X and we have 13 minus 27. That's negative. 14 we have. This is equal to 12 X. Now we want to get the X onto the right side of the equation, and we'll do this by subtracting X from both sides. So we have X minus 14 minus X. We have 12 x minus X, so we'll simplify this. The excess cancel each other out and we're left with negative 14 and this is equal to 11 X. Now we want to isolate the X and well divided by 11. So we have 11 x or 11 times X, divided by 11 and then on the left side to we have negative 14, divided by 11. So we're gonna be left with negative 14 divided by 11. That's equal to 11. X divided by 11. The 11th cancel each other out, which is just one. So we're left with just X. Therefore, X is equal to negative 14 everybody 11. So we can double check this by plugging it into, ah, calculator our value. We're gonna have 13 minus five rex which will just replace X with negative 14 about it by 11 and then also close three. Then the parentheses. Two X minus nine is just two times the negative 14th of October 11 Last night. This is equal to 12 and then the in parentheses. Negative 14, divided by 11. Come on, just like these values into a calculator and see what we get. And we should get a value roughly equal to negative 15.27 on both sides of the equation. Again, this is just a quick check to make sure we got to correct. And indeed, since both expressions are equal to each other, extras equal negative 14 divided by 11.

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