Question

Solve for x: 2x + 13 = 8x - 41

Answer 1

`2x + 13 = 8x - 41 \\ 13 + 41 = 8x - 2x \\ 54 = 6x \\ (54)/(6) = (6x)/(6) \\ x = 9`

Answer 2

9 is your answer for x.

Explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, & =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 13 & 8x from both sides:

2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)

2x - 8x = -41 - 13

Simplify. Combine like terms:

-6x = -54

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (-54)/-6

x = (-54)/(-6)

x = 9

x = 9 is your answer.

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