4x-(3x+1)=12+5(x-1)

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Solution for 4x-(3x+1)=12+5(x-1) equation:


Simplifying
4x + -1(3x + 1) = 12 + 5(x + -1)

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

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

Combine like terms: 4x + -3x = 1x
-1 + 1x = 12 + 5(x + -1)

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

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

Solving
-1 + 1x = 7 + 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.
-1 + 1x + -5x = 7 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-1 + -4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -4x = 7 + 0
-1 + -4x = 7

Add '1' to each side of the equation.
-1 + 1 + -4x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 7 + 1
-4x = 7 + 1

Combine like terms: 7 + 1 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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