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

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


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

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

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

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

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

Solving
8 + 4x = -7 + 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 = -7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = -7 + 0
8 + 1x = -7

Add '-8' to each side of the equation.
8 + -8 + 1x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -7 + -8
1x = -7 + -8

Combine like terms: -7 + -8 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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