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

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


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

Reorder the terms:
4(5 + x) = 3(x + -4) + -1x
(5 * 4 + x * 4) = 3(x + -4) + -1x
(20 + 4x) = 3(x + -4) + -1x

Reorder the terms:
20 + 4x = 3(-4 + x) + -1x
20 + 4x = (-4 * 3 + x * 3) + -1x
20 + 4x = (-12 + 3x) + -1x

Combine like terms: 3x + -1x = 2x
20 + 4x = -12 + 2x

Solving
20 + 4x = -12 + 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.
20 + 4x + -2x = -12 + 2x + -2x

Combine like terms: 4x + -2x = 2x
20 + 2x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 2x = -12 + 0
20 + 2x = -12

Add '-20' to each side of the equation.
20 + -20 + 2x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -12 + -20
2x = -12 + -20

Combine like terms: -12 + -20 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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