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

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


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

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

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

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

Reorder the terms:
2 + -1x = 4 + 3(2 + x)
2 + -1x = 4 + (2 * 3 + x * 3)
2 + -1x = 4 + (6 + 3x)

Combine like terms: 4 + 6 = 10
2 + -1x = 10 + 3x

Solving
2 + -1x = 10 + 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.
2 + -1x + -3x = 10 + 3x + -3x

Combine like terms: -1x + -3x = -4x
2 + -4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -4x = 10 + 0
2 + -4x = 10

Add '-2' to each side of the equation.
2 + -2 + -4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 10 + -2
-4x = 10 + -2

Combine like terms: 10 + -2 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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