3(4x-2)-2(5x+3)=5-3(x-1)

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Solution for 3(4x-2)-2(5x+3)=5-3(x-1) equation:


Simplifying
3(4x + -2) + -2(5x + 3) = 5 + -3(x + -1)

Reorder the terms:
3(-2 + 4x) + -2(5x + 3) = 5 + -3(x + -1)
(-2 * 3 + 4x * 3) + -2(5x + 3) = 5 + -3(x + -1)
(-6 + 12x) + -2(5x + 3) = 5 + -3(x + -1)

Reorder the terms:
-6 + 12x + -2(3 + 5x) = 5 + -3(x + -1)
-6 + 12x + (3 * -2 + 5x * -2) = 5 + -3(x + -1)
-6 + 12x + (-6 + -10x) = 5 + -3(x + -1)

Reorder the terms:
-6 + -6 + 12x + -10x = 5 + -3(x + -1)

Combine like terms: -6 + -6 = -12
-12 + 12x + -10x = 5 + -3(x + -1)

Combine like terms: 12x + -10x = 2x
-12 + 2x = 5 + -3(x + -1)

Reorder the terms:
-12 + 2x = 5 + -3(-1 + x)
-12 + 2x = 5 + (-1 * -3 + x * -3)
-12 + 2x = 5 + (3 + -3x)

Combine like terms: 5 + 3 = 8
-12 + 2x = 8 + -3x

Solving
-12 + 2x = 8 + -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.
-12 + 2x + 3x = 8 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-12 + 5x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 5x = 8 + 0
-12 + 5x = 8

Add '12' to each side of the equation.
-12 + 12 + 5x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 8 + 12
5x = 8 + 12

Combine like terms: 8 + 12 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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