5(3x-2x-1)-4(3x-2)=6x+2(-3x-12)

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Solution for 5(3x-2x-1)-4(3x-2)=6x+2(-3x-12) equation:


Simplifying
5(3x + -2x + -1) + -4(3x + -2) = 6x + 2(-3x + -12)

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

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

Reorder the terms:
-5 + 5x + -4(-2 + 3x) = 6x + 2(-3x + -12)
-5 + 5x + (-2 * -4 + 3x * -4) = 6x + 2(-3x + -12)
-5 + 5x + (8 + -12x) = 6x + 2(-3x + -12)

Reorder the terms:
-5 + 8 + 5x + -12x = 6x + 2(-3x + -12)

Combine like terms: -5 + 8 = 3
3 + 5x + -12x = 6x + 2(-3x + -12)

Combine like terms: 5x + -12x = -7x
3 + -7x = 6x + 2(-3x + -12)

Reorder the terms:
3 + -7x = 6x + 2(-12 + -3x)
3 + -7x = 6x + (-12 * 2 + -3x * 2)
3 + -7x = 6x + (-24 + -6x)

Reorder the terms:
3 + -7x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -7x = -24 + 0
3 + -7x = -24

Solving
3 + -7x = -24

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -7x = -24 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -24 + -3
-7x = -24 + -3

Combine like terms: -24 + -3 = -27
-7x = -27

Divide each side by '-7'.
x = 3.857142857

Simplifying
x = 3.857142857

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