Question

Solve the equation for the variable. $$29=-8 x-3$$

   Solve the equation for the variable.
$$29=-8 x-3$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 8, Problem 121

Instant Answer

Solved by Expert Sherrie Fenner

03/29/2020

Step 1

We can do this by adding 3 to both sides of the equation to get rid of the -3 on the left side. This gives us: $$29 + 3 = -8x - 3 + 3$$ which simplifies to: $$32 = -8x$$ Show more…

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Solve the equation for the variable. $$29=-8 x-3$$

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Key Concepts

Linear Equations

A linear equation is an algebraic statement in which each term is either a constant or the product of a constant and a single variable. These equations typically take the form ax + b = c and represent straight lines when graphed on a coordinate plane.

Isolation of Variables

Isolating the variable means manipulating the equation through algebraic operations to have the unknown variable on one side of the equation and numbers on the other. This technique simplifies the process of finding the variable's value.

Inverse Operations

Inverse operations are employed to undo the arithmetic operations applied to the variable. For example, addition is undone by subtraction, and multiplication is undone by division, allowing for the variable to be isolated and solved.

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