-3(x-2)=5(x-2)

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Solution for -3(x-2)=5(x-2) equation:


Simplifying
-3(x + -2) = 5(x + -2)

Reorder the terms:
-3(-2 + x) = 5(x + -2)
(-2 * -3 + x * -3) = 5(x + -2)
(6 + -3x) = 5(x + -2)

Reorder the terms:
6 + -3x = 5(-2 + x)
6 + -3x = (-2 * 5 + x * 5)
6 + -3x = (-10 + 5x)

Solving
6 + -3x = -10 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
6 + -3x + -5x = -10 + 5x + -5x

Combine like terms: -3x + -5x = -8x
6 + -8x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -8x = -10 + 0
6 + -8x = -10

Add '-6' to each side of the equation.
6 + -6 + -8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -10 + -6
-8x = -10 + -6

Combine like terms: -10 + -6 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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