3(12x-6)-22x=4(3x-8)

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Solution for 3(12x-6)-22x=4(3x-8) equation:


Simplifying
3(12x + -6) + -22x = 4(3x + -8)

Reorder the terms:
3(-6 + 12x) + -22x = 4(3x + -8)
(-6 * 3 + 12x * 3) + -22x = 4(3x + -8)
(-18 + 36x) + -22x = 4(3x + -8)

Combine like terms: 36x + -22x = 14x
-18 + 14x = 4(3x + -8)

Reorder the terms:
-18 + 14x = 4(-8 + 3x)
-18 + 14x = (-8 * 4 + 3x * 4)
-18 + 14x = (-32 + 12x)

Solving
-18 + 14x = -32 + 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.
-18 + 14x + -12x = -32 + 12x + -12x

Combine like terms: 14x + -12x = 2x
-18 + 2x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + 2x = -32 + 0
-18 + 2x = -32

Add '18' to each side of the equation.
-18 + 18 + 2x = -32 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -32 + 18
2x = -32 + 18

Combine like terms: -32 + 18 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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