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

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


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

Reorder the terms:
3(-8 + 3x) + -2 = 4(x + -2) + 22
(-8 * 3 + 3x * 3) + -2 = 4(x + -2) + 22
(-24 + 9x) + -2 = 4(x + -2) + 22

Reorder the terms:
-24 + -2 + 9x = 4(x + -2) + 22

Combine like terms: -24 + -2 = -26
-26 + 9x = 4(x + -2) + 22

Reorder the terms:
-26 + 9x = 4(-2 + x) + 22
-26 + 9x = (-2 * 4 + x * 4) + 22
-26 + 9x = (-8 + 4x) + 22

Reorder the terms:
-26 + 9x = -8 + 22 + 4x

Combine like terms: -8 + 22 = 14
-26 + 9x = 14 + 4x

Solving
-26 + 9x = 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.
-26 + 9x + -4x = 14 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-26 + 5x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-26 + 5x = 14 + 0
-26 + 5x = 14

Add '26' to each side of the equation.
-26 + 26 + 5x = 14 + 26

Combine like terms: -26 + 26 = 0
0 + 5x = 14 + 26
5x = 14 + 26

Combine like terms: 14 + 26 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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