5-5(x+3)-5=5+2(4-2x)-16

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Solution for 5-5(x+3)-5=5+2(4-2x)-16 equation:


Simplifying
5 + -5(x + 3) + -5 = 5 + 2(4 + -2x) + -16

Reorder the terms:
5 + -5(3 + x) + -5 = 5 + 2(4 + -2x) + -16
5 + (3 * -5 + x * -5) + -5 = 5 + 2(4 + -2x) + -16
5 + (-15 + -5x) + -5 = 5 + 2(4 + -2x) + -16

Reorder the terms:
5 + -15 + -5 + -5x = 5 + 2(4 + -2x) + -16

Combine like terms: 5 + -15 = -10
-10 + -5 + -5x = 5 + 2(4 + -2x) + -16

Combine like terms: -10 + -5 = -15
-15 + -5x = 5 + 2(4 + -2x) + -16
-15 + -5x = 5 + (4 * 2 + -2x * 2) + -16
-15 + -5x = 5 + (8 + -4x) + -16

Reorder the terms:
-15 + -5x = 5 + 8 + -16 + -4x

Combine like terms: 5 + 8 = 13
-15 + -5x = 13 + -16 + -4x

Combine like terms: 13 + -16 = -3
-15 + -5x = -3 + -4x

Solving
-15 + -5x = -3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-15 + -5x + 4x = -3 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-15 + -1x = -3 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + -1x = -3 + 0
-15 + -1x = -3

Add '15' to each side of the equation.
-15 + 15 + -1x = -3 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -3 + 15
-1x = -3 + 15

Combine like terms: -3 + 15 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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