3(6x-4)-2(5x+11)=22

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Solution for 3(6x-4)-2(5x+11)=22 equation:


Simplifying
3(6x + -4) + -2(5x + 11) = 22

Reorder the terms:
3(-4 + 6x) + -2(5x + 11) = 22
(-4 * 3 + 6x * 3) + -2(5x + 11) = 22
(-12 + 18x) + -2(5x + 11) = 22

Reorder the terms:
-12 + 18x + -2(11 + 5x) = 22
-12 + 18x + (11 * -2 + 5x * -2) = 22
-12 + 18x + (-22 + -10x) = 22

Reorder the terms:
-12 + -22 + 18x + -10x = 22

Combine like terms: -12 + -22 = -34
-34 + 18x + -10x = 22

Combine like terms: 18x + -10x = 8x
-34 + 8x = 22

Solving
-34 + 8x = 22

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 8x = 22 + 34

Combine like terms: -34 + 34 = 0
0 + 8x = 22 + 34
8x = 22 + 34

Combine like terms: 22 + 34 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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