-2(x+7)=-5x-8

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Solution for -2(x+7)=-5x-8 equation:


Simplifying
-2(x + 7) = -5x + -8

Reorder the terms:
-2(7 + x) = -5x + -8
(7 * -2 + x * -2) = -5x + -8
(-14 + -2x) = -5x + -8

Reorder the terms:
-14 + -2x = -8 + -5x

Solving
-14 + -2x = -8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-14 + -2x + 5x = -8 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-14 + 3x = -8 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + 3x = -8 + 0
-14 + 3x = -8

Add '14' to each side of the equation.
-14 + 14 + 3x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = -8 + 14
3x = -8 + 14

Combine like terms: -8 + 14 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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