5(-2x-2)=13x+7

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Solution for 5(-2x-2)=13x+7 equation:


Simplifying
5(-2x + -2) = 13x + 7

Reorder the terms:
5(-2 + -2x) = 13x + 7
(-2 * 5 + -2x * 5) = 13x + 7
(-10 + -10x) = 13x + 7

Reorder the terms:
-10 + -10x = 7 + 13x

Solving
-10 + -10x = 7 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
-10 + -10x + -13x = 7 + 13x + -13x

Combine like terms: -10x + -13x = -23x
-10 + -23x = 7 + 13x + -13x

Combine like terms: 13x + -13x = 0
-10 + -23x = 7 + 0
-10 + -23x = 7

Add '10' to each side of the equation.
-10 + 10 + -23x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + -23x = 7 + 10
-23x = 7 + 10

Combine like terms: 7 + 10 = 17
-23x = 17

Divide each side by '-23'.
x = -0.7391304348

Simplifying
x = -0.7391304348

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