-7(x+8)+2(x-4)=-14

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Solution for -7(x+8)+2(x-4)=-14 equation:


Simplifying
-7(x + 8) + 2(x + -4) = -14

Reorder the terms:
-7(8 + x) + 2(x + -4) = -14
(8 * -7 + x * -7) + 2(x + -4) = -14
(-56 + -7x) + 2(x + -4) = -14

Reorder the terms:
-56 + -7x + 2(-4 + x) = -14
-56 + -7x + (-4 * 2 + x * 2) = -14
-56 + -7x + (-8 + 2x) = -14

Reorder the terms:
-56 + -8 + -7x + 2x = -14

Combine like terms: -56 + -8 = -64
-64 + -7x + 2x = -14

Combine like terms: -7x + 2x = -5x
-64 + -5x = -14

Solving
-64 + -5x = -14

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + -5x = -14 + 64

Combine like terms: -64 + 64 = 0
0 + -5x = -14 + 64
-5x = -14 + 64

Combine like terms: -14 + 64 = 50
-5x = 50

Divide each side by '-5'.
x = -10

Simplifying
x = -10

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