4(3x-8)-2=4(x-2)+22

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Solution for 4(3x-8)-2=4(x-2)+22 equation: 


Simplifying
4(3x + -8) + -2 = 4(x + -2) + 22

Reorder the terms:
4(-8 + 3x) + -2 = 4(x + -2) + 22
(-8 * 4 + 3x * 4) + -2 = 4(x + -2) + 22
(-32 + 12x) + -2 = 4(x + -2) + 22

Reorder the terms:
-32 + -2 + 12x = 4(x + -2) + 22

Combine like terms: -32 + -2 = -34
-34 + 12x = 4(x + -2) + 22

Reorder the terms:
-34 + 12x = 4(-2 + x) + 22
-34 + 12x = (-2 * 4 + x * 4) + 22
-34 + 12x = (-8 + 4x) + 22

Reorder the terms:
-34 + 12x = -8 + 22 + 4x

Combine like terms: -8 + 22 = 14
-34 + 12x = 14 + 4x

Solving
-34 + 12x = 14 + 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.
-34 + 12x + -4x = 14 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-34 + 8x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-34 + 8x = 14 + 0
-34 + 8x = 14

Add '34' to each side of the equation.
-34 + 34 + 8x = 14 + 34

Combine like terms: -34 + 34 = 0
0 + 8x = 14 + 34
8x = 14 + 34

Combine like terms: 14 + 34 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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