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

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


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

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

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

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

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

Combine like terms: 12x + -3x = 9x
-5 + 9x = 4(x + -2)

Reorder the terms:
-5 + 9x = 4(-2 + x)
-5 + 9x = (-2 * 4 + x * 4)
-5 + 9x = (-8 + 4x)

Solving
-5 + 9x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 9x + -4x = -8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-5 + 5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 5x = -8 + 0
-5 + 5x = -8

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

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

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

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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