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 = -2
2 + -1x = -2 + 3x

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

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

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

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

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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