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

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


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

Reorder the terms:
2(-6 + x) = 5(x + 5) + -16
(-6 * 2 + x * 2) = 5(x + 5) + -16
(-12 + 2x) = 5(x + 5) + -16

Reorder the terms:
-12 + 2x = 5(5 + x) + -16
-12 + 2x = (5 * 5 + x * 5) + -16
-12 + 2x = (25 + 5x) + -16

Reorder the terms:
-12 + 2x = 25 + -16 + 5x

Combine like terms: 25 + -16 = 9
-12 + 2x = 9 + 5x

Solving
-12 + 2x = 9 + 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.
-12 + 2x + -5x = 9 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-12 + -3x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -3x = 9 + 0
-12 + -3x = 9

Add '12' to each side of the equation.
-12 + 12 + -3x = 9 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 9 + 12
-3x = 9 + 12

Combine like terms: 9 + 12 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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