-22=5(x+3)-2

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Solution for -22=5(x+3)-2 equation:


Simplifying
-22 = 5(x + 3) + -2

Reorder the terms:
-22 = 5(3 + x) + -2
-22 = (3 * 5 + x * 5) + -2
-22 = (15 + 5x) + -2

Reorder the terms:
-22 = 15 + -2 + 5x

Combine like terms: 15 + -2 = 13
-22 = 13 + 5x

Solving
-22 = 13 + 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.
-22 + -5x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + -5x = 13 + 0
-22 + -5x = 13

Add '22' to each side of the equation.
-22 + 22 + -5x = 13 + 22

Combine like terms: -22 + 22 = 0
0 + -5x = 13 + 22
-5x = 13 + 22

Combine like terms: 13 + 22 = 35
-5x = 35

Divide each side by '-5'.
x = -7

Simplifying
x = -7

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