2(5x+7)=-3x-12

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Solution for 2(5x+7)=-3x-12 equation:


Simplifying
2(5x + 7) = -3x + -12

Reorder the terms:
2(7 + 5x) = -3x + -12
(7 * 2 + 5x * 2) = -3x + -12
(14 + 10x) = -3x + -12

Reorder the terms:
14 + 10x = -12 + -3x

Solving
14 + 10x = -12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14 + 10x + 3x = -12 + -3x + 3x

Combine like terms: 10x + 3x = 13x
14 + 13x = -12 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 13x = -12 + 0
14 + 13x = -12

Add '-14' to each side of the equation.
14 + -14 + 13x = -12 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = -12 + -14
13x = -12 + -14

Combine like terms: -12 + -14 = -26
13x = -26

Divide each side by '13'.
x = -2

Simplifying
x = -2

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