3(2x-2)-5=3(x-5)+22

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Solution for 3(2x-2)-5=3(x-5)+22 equation: 


Simplifying
3(2x + -2) + -5 = 3(x + -5) + 22

Reorder the terms:
3(-2 + 2x) + -5 = 3(x + -5) + 22
(-2 * 3 + 2x * 3) + -5 = 3(x + -5) + 22
(-6 + 6x) + -5 = 3(x + -5) + 22

Reorder the terms:
-6 + -5 + 6x = 3(x + -5) + 22

Combine like terms: -6 + -5 = -11
-11 + 6x = 3(x + -5) + 22

Reorder the terms:
-11 + 6x = 3(-5 + x) + 22
-11 + 6x = (-5 * 3 + x * 3) + 22
-11 + 6x = (-15 + 3x) + 22

Reorder the terms:
-11 + 6x = -15 + 22 + 3x

Combine like terms: -15 + 22 = 7
-11 + 6x = 7 + 3x

Solving
-11 + 6x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-11 + 6x + -3x = 7 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-11 + 3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 3x = 7 + 0
-11 + 3x = 7

Add '11' to each side of the equation.
-11 + 11 + 3x = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 7 + 11
3x = 7 + 11

Combine like terms: 7 + 11 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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