-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 = -5x
4 + -5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -5x = -3 + 0
4 + -5x = -3

Add '-4' to each side of the equation.
4 + -4 + -5x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -3 + -4
-5x = -3 + -4

Combine like terms: -3 + -4 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

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