-4(x+2)-3(x-1)-2=4(x-2)+9

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Solution for -4(x+2)-3(x-1)-2=4(x-2)+9 equation: 


Simplifying
-4(x + 2) + -3(x + -1) + -2 = 4(x + -2) + 9

Reorder the terms:
-4(2 + x) + -3(x + -1) + -2 = 4(x + -2) + 9
(2 * -4 + x * -4) + -3(x + -1) + -2 = 4(x + -2) + 9
(-8 + -4x) + -3(x + -1) + -2 = 4(x + -2) + 9

Reorder the terms:
-8 + -4x + -3(-1 + x) + -2 = 4(x + -2) + 9
-8 + -4x + (-1 * -3 + x * -3) + -2 = 4(x + -2) + 9
-8 + -4x + (3 + -3x) + -2 = 4(x + -2) + 9

Reorder the terms:
-8 + 3 + -2 + -4x + -3x = 4(x + -2) + 9

Combine like terms: -8 + 3 = -5
-5 + -2 + -4x + -3x = 4(x + -2) + 9

Combine like terms: -5 + -2 = -7
-7 + -4x + -3x = 4(x + -2) + 9

Combine like terms: -4x + -3x = -7x
-7 + -7x = 4(x + -2) + 9

Reorder the terms:
-7 + -7x = 4(-2 + x) + 9
-7 + -7x = (-2 * 4 + x * 4) + 9
-7 + -7x = (-8 + 4x) + 9

Reorder the terms:
-7 + -7x = -8 + 9 + 4x

Combine like terms: -8 + 9 = 1
-7 + -7x = 1 + 4x

Solving
-7 + -7x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + -7x + -4x = 1 + 4x + -4x

Combine like terms: -7x + -4x = -11x
-7 + -11x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -11x = 1 + 0
-7 + -11x = 1

Add '7' to each side of the equation.
-7 + 7 + -11x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + -11x = 1 + 7
-11x = 1 + 7

Combine like terms: 1 + 7 = 8
-11x = 8

Divide each side by '-11'.
x = -0.7272727273

Simplifying
x = -0.7272727273

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