-2(3x+1)-3(4x-2)=22

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Solution for -2(3x+1)-3(4x-2)=22 equation:


Simplifying
-2(3x + 1) + -3(4x + -2) = 22

Reorder the terms:
-2(1 + 3x) + -3(4x + -2) = 22
(1 * -2 + 3x * -2) + -3(4x + -2) = 22
(-2 + -6x) + -3(4x + -2) = 22

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

Reorder the terms:
-2 + 6 + -6x + -12x = 22

Combine like terms: -2 + 6 = 4
4 + -6x + -12x = 22

Combine like terms: -6x + -12x = -18x
4 + -18x = 22

Solving
4 + -18x = 22

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -18x = 22 + -4

Combine like terms: 4 + -4 = 0
0 + -18x = 22 + -4
-18x = 22 + -4

Combine like terms: 22 + -4 = 18
-18x = 18

Divide each side by '-18'.
x = -1

Simplifying
x = -1

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