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

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


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

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

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

Reorder the terms:
-6 + 12x = -5 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-6 + 12x = -5 + -2x

Solving
-6 + 12x = -5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 12x + 2x = -5 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-6 + 14x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 14x = -5 + 0
-6 + 14x = -5

Add '6' to each side of the equation.
-6 + 6 + 14x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -5 + 6
14x = -5 + 6

Combine like terms: -5 + 6 = 1
14x = 1

Divide each side by '14'.
x = 0.07142857143

Simplifying
x = 0.07142857143

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