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

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Solution for 4(x+2)-(5-x)=3(x-1)-2(x+4) equation: 


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

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

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

Combine like terms: 8 + -5 = 3
3 + 4x + 1x = 3(x + -1) + -2(x + 4)

Combine like terms: 4x + 1x = 5x
3 + 5x = 3(x + -1) + -2(x + 4)

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

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

Reorder the terms:
3 + 5x = -3 + -8 + 3x + -2x

Combine like terms: -3 + -8 = -11
3 + 5x = -11 + 3x + -2x

Combine like terms: 3x + -2x = 1x
3 + 5x = -11 + 1x

Solving
3 + 5x = -11 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 5x + -1x = -11 + 1x + -1x

Combine like terms: 5x + -1x = 4x
3 + 4x = -11 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + 4x = -11 + 0
3 + 4x = -11

Add '-3' to each side of the equation.
3 + -3 + 4x = -11 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = -11 + -3
4x = -11 + -3

Combine like terms: -11 + -3 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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