-7(x-2)-3(4-x)=22

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Solution for -7(x-2)-3(4-x)=22 equation: 


Simplifying
-7(x + -2) + -3(4 + -1x) = 22

Reorder the terms:
-7(-2 + x) + -3(4 + -1x) = 22
(-2 * -7 + x * -7) + -3(4 + -1x) = 22
(14 + -7x) + -3(4 + -1x) = 22
14 + -7x + (4 * -3 + -1x * -3) = 22
14 + -7x + (-12 + 3x) = 22

Reorder the terms:
14 + -12 + -7x + 3x = 22

Combine like terms: 14 + -12 = 2
2 + -7x + 3x = 22

Combine like terms: -7x + 3x = -4x
2 + -4x = 22

Solving
2 + -4x = 22

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -4x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 22 + -2
-4x = 22 + -2

Combine like terms: 22 + -2 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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