2(x-8)-(x-4)=3(x+5)-3

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Solution for 2(x-8)-(x-4)=3(x+5)-3 equation:


Simplifying
2(x + -8) + -1(x + -4) = 3(x + 5) + -3

Reorder the terms:
2(-8 + x) + -1(x + -4) = 3(x + 5) + -3
(-8 * 2 + x * 2) + -1(x + -4) = 3(x + 5) + -3
(-16 + 2x) + -1(x + -4) = 3(x + 5) + -3

Reorder the terms:
-16 + 2x + -1(-4 + x) = 3(x + 5) + -3
-16 + 2x + (-4 * -1 + x * -1) = 3(x + 5) + -3
-16 + 2x + (4 + -1x) = 3(x + 5) + -3

Reorder the terms:
-16 + 4 + 2x + -1x = 3(x + 5) + -3

Combine like terms: -16 + 4 = -12
-12 + 2x + -1x = 3(x + 5) + -3

Combine like terms: 2x + -1x = 1x
-12 + 1x = 3(x + 5) + -3

Reorder the terms:
-12 + 1x = 3(5 + x) + -3
-12 + 1x = (5 * 3 + x * 3) + -3
-12 + 1x = (15 + 3x) + -3

Reorder the terms:
-12 + 1x = 15 + -3 + 3x

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

Solving
-12 + 1x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 1x + -3x = 12 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-12 + -2x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -2x = 12 + 0
-12 + -2x = 12

Add '12' to each side of the equation.
-12 + 12 + -2x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 12 + 12
-2x = 12 + 12

Combine like terms: 12 + 12 = 24
-2x = 24

Divide each side by '-2'.
x = -12

Simplifying
x = -12

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