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

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


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

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

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

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

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

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

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

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

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

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

Simplifying
x = -1

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