22-(x+7)=5x-3

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Solution for 22-(x+7)=5x-3 equation:


Simplifying
22 + -1(x + 7) = 5x + -3

Reorder the terms:
22 + -1(7 + x) = 5x + -3
22 + (7 * -1 + x * -1) = 5x + -3
22 + (-7 + -1x) = 5x + -3

Combine like terms: 22 + -7 = 15
15 + -1x = 5x + -3

Reorder the terms:
15 + -1x = -3 + 5x

Solving
15 + -1x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -1x + -5x = -3 + 5x + -5x

Combine like terms: -1x + -5x = -6x
15 + -6x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -6x = -3 + 0
15 + -6x = -3

Add '-15' to each side of the equation.
15 + -15 + -6x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -3 + -15
-6x = -3 + -15

Combine like terms: -3 + -15 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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