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

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


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

Reorder the terms:
2(-3 + x) + 4(3 + -1x) = 22
(-3 * 2 + x * 2) + 4(3 + -1x) = 22
(-6 + 2x) + 4(3 + -1x) = 22
-6 + 2x + (3 * 4 + -1x * 4) = 22
-6 + 2x + (12 + -4x) = 22

Reorder the terms:
-6 + 12 + 2x + -4x = 22

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

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

Solving
6 + -2x = 22

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 22 + -6
-2x = 22 + -6

Combine like terms: 22 + -6 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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