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

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


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

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

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

Combine like terms: -1 + -1 = -2
-2 + 3x + -1x = -3(4x + 5)

Combine like terms: 3x + -1x = 2x
-2 + 2x = -3(4x + 5)

Reorder the terms:
-2 + 2x = -3(5 + 4x)
-2 + 2x = (5 * -3 + 4x * -3)
-2 + 2x = (-15 + -12x)

Solving
-2 + 2x = -15 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-2 + 2x + 12x = -15 + -12x + 12x

Combine like terms: 2x + 12x = 14x
-2 + 14x = -15 + -12x + 12x

Combine like terms: -12x + 12x = 0
-2 + 14x = -15 + 0
-2 + 14x = -15

Add '2' to each side of the equation.
-2 + 2 + 14x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 14x = -15 + 2
14x = -15 + 2

Combine like terms: -15 + 2 = -13
14x = -13

Divide each side by '14'.
x = -0.9285714286

Simplifying
x = -0.9285714286

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