12-3x+5(x-1)=-(3x-5)

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Solution for 12-3x+5(x-1)=-(3x-5) equation:


Simplifying
12 + -3x + 5(x + -1) = -1(3x + -5)

Reorder the terms:
12 + -3x + 5(-1 + x) = -1(3x + -5)
12 + -3x + (-1 * 5 + x * 5) = -1(3x + -5)
12 + -3x + (-5 + 5x) = -1(3x + -5)

Reorder the terms:
12 + -5 + -3x + 5x = -1(3x + -5)

Combine like terms: 12 + -5 = 7
7 + -3x + 5x = -1(3x + -5)

Combine like terms: -3x + 5x = 2x
7 + 2x = -1(3x + -5)

Reorder the terms:
7 + 2x = -1(-5 + 3x)
7 + 2x = (-5 * -1 + 3x * -1)
7 + 2x = (5 + -3x)

Solving
7 + 2x = 5 + -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.
7 + 2x + 3x = 5 + -3x + 3x

Combine like terms: 2x + 3x = 5x
7 + 5x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 5x = 5 + 0
7 + 5x = 5

Add '-7' to each side of the equation.
7 + -7 + 5x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 5 + -7
5x = 5 + -7

Combine like terms: 5 + -7 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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