-4(x+2)=3(x+5)-x

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Solution for -4(x+2)=3(x+5)-x equation: 


Simplifying
-4(x + 2) = 3(x + 5) + -1x

Reorder the terms:
-4(2 + x) = 3(x + 5) + -1x
(2 * -4 + x * -4) = 3(x + 5) + -1x
(-8 + -4x) = 3(x + 5) + -1x

Reorder the terms:
-8 + -4x = 3(5 + x) + -1x
-8 + -4x = (5 * 3 + x * 3) + -1x
-8 + -4x = (15 + 3x) + -1x

Combine like terms: 3x + -1x = 2x
-8 + -4x = 15 + 2x

Solving
-8 + -4x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + -4x + -2x = 15 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-8 + -6x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -6x = 15 + 0
-8 + -6x = 15

Add '8' to each side of the equation.
-8 + 8 + -6x = 15 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 15 + 8
-6x = 15 + 8

Combine like terms: 15 + 8 = 23
-6x = 23

Divide each side by '-6'.
x = -3.833333333

Simplifying
x = -3.833333333

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