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

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


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

Reorder the terms:
3(8 + x) = -4(2x + -2) + x
(8 * 3 + x * 3) = -4(2x + -2) + x
(24 + 3x) = -4(2x + -2) + x

Reorder the terms:
24 + 3x = -4(-2 + 2x) + x
24 + 3x = (-2 * -4 + 2x * -4) + x
24 + 3x = (8 + -8x) + x

Combine like terms: -8x + x = -7x
24 + 3x = 8 + -7x

Solving
24 + 3x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
24 + 3x + 7x = 8 + -7x + 7x

Combine like terms: 3x + 7x = 10x
24 + 10x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
24 + 10x = 8 + 0
24 + 10x = 8

Add '-24' to each side of the equation.
24 + -24 + 10x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 8 + -24
10x = 8 + -24

Combine like terms: 8 + -24 = -16
10x = -16

Divide each side by '10'.
x = -1.6

Simplifying
x = -1.6

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