3x-15-8x+16=-2x+22

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Solution for 3x-15-8x+16=-2x+22 equation:


Simplifying
3x + -15 + -8x + 16 = -2x + 22

Reorder the terms:
-15 + 16 + 3x + -8x = -2x + 22

Combine like terms: -15 + 16 = 1
1 + 3x + -8x = -2x + 22

Combine like terms: 3x + -8x = -5x
1 + -5x = -2x + 22

Reorder the terms:
1 + -5x = 22 + -2x

Solving
1 + -5x = 22 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + -5x + 2x = 22 + -2x + 2x

Combine like terms: -5x + 2x = -3x
1 + -3x = 22 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -3x = 22 + 0
1 + -3x = 22

Add '-1' to each side of the equation.
1 + -1 + -3x = 22 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 22 + -1
-3x = 22 + -1

Combine like terms: 22 + -1 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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