3(4x-2)-5x=6x+22

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Solution for 3(4x-2)-5x=6x+22 equation:


Simplifying
3(4x + -2) + -5x = 6x + 22

Reorder the terms:
3(-2 + 4x) + -5x = 6x + 22
(-2 * 3 + 4x * 3) + -5x = 6x + 22
(-6 + 12x) + -5x = 6x + 22

Combine like terms: 12x + -5x = 7x
-6 + 7x = 6x + 22

Reorder the terms:
-6 + 7x = 22 + 6x

Solving
-6 + 7x = 22 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 7x + -6x = 22 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-6 + 1x = 22 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 1x = 22 + 0
-6 + 1x = 22

Add '6' to each side of the equation.
-6 + 6 + 1x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 22 + 6
1x = 22 + 6

Combine like terms: 22 + 6 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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