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

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


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

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

Combine like terms: 7x + -3x = 4x
-22 = -14 + 4x

Solving
-22 = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-22 + -4x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + -4x = -14 + 0
-22 + -4x = -14

Add '22' to each side of the equation.
-22 + 22 + -4x = -14 + 22

Combine like terms: -22 + 22 = 0
0 + -4x = -14 + 22
-4x = -14 + 22

Combine like terms: -14 + 22 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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