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

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


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

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

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

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

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

Solving
3 + -2x = -4 + 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.
3 + -2x + -2x = -4 + 2x + -2x

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

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

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

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

Combine like terms: -4 + -3 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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