2(5x+7)=x-13

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


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

Reorder the terms:
2(7 + 5x) = x + -13
(7 * 2 + 5x * 2) = x + -13
(14 + 10x) = x + -13

Reorder the terms:
14 + 10x = -13 + x

Solving
14 + 10x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 10x + -1x = -13 + x + -1x

Combine like terms: 10x + -1x = 9x
14 + 9x = -13 + x + -1x

Combine like terms: x + -1x = 0
14 + 9x = -13 + 0
14 + 9x = -13

Add '-14' to each side of the equation.
14 + -14 + 9x = -13 + -14

Combine like terms: 14 + -14 = 0
0 + 9x = -13 + -14
9x = -13 + -14

Combine like terms: -13 + -14 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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