3-2(x-1)=3(x-5)

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Solution for 3-2(x-1)=3(x-5) equation:


Simplifying
3 + -2(x + -1) = 3(x + -5)

Reorder the terms:
3 + -2(-1 + x) = 3(x + -5)
3 + (-1 * -2 + x * -2) = 3(x + -5)
3 + (2 + -2x) = 3(x + -5)

Combine like terms: 3 + 2 = 5
5 + -2x = 3(x + -5)

Reorder the terms:
5 + -2x = 3(-5 + x)
5 + -2x = (-5 * 3 + x * 3)
5 + -2x = (-15 + 3x)

Solving
5 + -2x = -15 + 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.
5 + -2x + -3x = -15 + 3x + -3x

Combine like terms: -2x + -3x = -5x
5 + -5x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -5x = -15 + 0
5 + -5x = -15

Add '-5' to each side of the equation.
5 + -5 + -5x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -15 + -5
-5x = -15 + -5

Combine like terms: -15 + -5 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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