12(x-3)-3(2x-1)+5x=22

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Solution for 12(x-3)-3(2x-1)+5x=22 equation: 


Simplifying
12(x + -3) + -3(2x + -1) + 5x = 22

Reorder the terms:
12(-3 + x) + -3(2x + -1) + 5x = 22
(-3 * 12 + x * 12) + -3(2x + -1) + 5x = 22
(-36 + 12x) + -3(2x + -1) + 5x = 22

Reorder the terms:
-36 + 12x + -3(-1 + 2x) + 5x = 22
-36 + 12x + (-1 * -3 + 2x * -3) + 5x = 22
-36 + 12x + (3 + -6x) + 5x = 22

Reorder the terms:
-36 + 3 + 12x + -6x + 5x = 22

Combine like terms: -36 + 3 = -33
-33 + 12x + -6x + 5x = 22

Combine like terms: 12x + -6x = 6x
-33 + 6x + 5x = 22

Combine like terms: 6x + 5x = 11x
-33 + 11x = 22

Solving
-33 + 11x = 22

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 11x = 22 + 33

Combine like terms: -33 + 33 = 0
0 + 11x = 22 + 33
11x = 22 + 33

Combine like terms: 22 + 33 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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