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

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


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

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

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

Reorder the terms:
8 + 4x = 3 + -8 + -3x

Combine like terms: 3 + -8 = -5
8 + 4x = -5 + -3x

Solving
8 + 4x = -5 + -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.
8 + 4x + 3x = -5 + -3x + 3x

Combine like terms: 4x + 3x = 7x
8 + 7x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 7x = -5 + 0
8 + 7x = -5

Add '-8' to each side of the equation.
8 + -8 + 7x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -5 + -8
7x = -5 + -8

Combine like terms: -5 + -8 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857

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