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

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


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

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

Reorder the terms:
-4 + 12x = 5(-1 + 4x) + -1(3x + -2)
-4 + 12x = (-1 * 5 + 4x * 5) + -1(3x + -2)
-4 + 12x = (-5 + 20x) + -1(3x + -2)

Reorder the terms:
-4 + 12x = -5 + 20x + -1(-2 + 3x)
-4 + 12x = -5 + 20x + (-2 * -1 + 3x * -1)
-4 + 12x = -5 + 20x + (2 + -3x)

Reorder the terms:
-4 + 12x = -5 + 2 + 20x + -3x

Combine like terms: -5 + 2 = -3
-4 + 12x = -3 + 20x + -3x

Combine like terms: 20x + -3x = 17x
-4 + 12x = -3 + 17x

Solving
-4 + 12x = -3 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-4 + 12x + -17x = -3 + 17x + -17x

Combine like terms: 12x + -17x = -5x
-4 + -5x = -3 + 17x + -17x

Combine like terms: 17x + -17x = 0
-4 + -5x = -3 + 0
-4 + -5x = -3

Add '4' to each side of the equation.
-4 + 4 + -5x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = -3 + 4
-5x = -3 + 4

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

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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