5(x-6)-7(x+2)=-16

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Solution for 5(x-6)-7(x+2)=-16 equation: 


Simplifying
5(x + -6) + -7(x + 2) = -16

Reorder the terms:
5(-6 + x) + -7(x + 2) = -16
(-6 * 5 + x * 5) + -7(x + 2) = -16
(-30 + 5x) + -7(x + 2) = -16

Reorder the terms:
-30 + 5x + -7(2 + x) = -16
-30 + 5x + (2 * -7 + x * -7) = -16
-30 + 5x + (-14 + -7x) = -16

Reorder the terms:
-30 + -14 + 5x + -7x = -16

Combine like terms: -30 + -14 = -44
-44 + 5x + -7x = -16

Combine like terms: 5x + -7x = -2x
-44 + -2x = -16

Solving
-44 + -2x = -16

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + -2x = -16 + 44

Combine like terms: -44 + 44 = 0
0 + -2x = -16 + 44
-2x = -16 + 44

Combine like terms: -16 + 44 = 28
-2x = 28

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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