x-3=2(x-2)

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


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

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

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

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

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

Combine like terms: 2x + -2x = 0
-3 + -1x = -4 + 0
-3 + -1x = -4

Add '3' to each side of the equation.
-3 + 3 + -1x = -4 + 3

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

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

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

Simplifying
x = 1

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