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

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Solution for 2(x-1)-8=3(x+4) equation: 


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

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

Reorder the terms:
-2 + -8 + 2x = 3(x + 4)

Combine like terms: -2 + -8 = -10
-10 + 2x = 3(x + 4)

Reorder the terms:
-10 + 2x = 3(4 + x)
-10 + 2x = (4 * 3 + x * 3)
-10 + 2x = (12 + 3x)

Solving
-10 + 2x = 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.
-10 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = 12 + 0
-10 + -1x = 12

Add '10' to each side of the equation.
-10 + 10 + -1x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 12 + 10
-1x = 12 + 10

Combine like terms: 12 + 10 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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