5-3(x+2)-15=4x+22-5x

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Solution for 5-3(x+2)-15=4x+22-5x equation:


Simplifying
5 + -3(x + 2) + -15 = 4x + 22 + -5x

Reorder the terms:
5 + -3(2 + x) + -15 = 4x + 22 + -5x
5 + (2 * -3 + x * -3) + -15 = 4x + 22 + -5x
5 + (-6 + -3x) + -15 = 4x + 22 + -5x

Reorder the terms:
5 + -6 + -15 + -3x = 4x + 22 + -5x

Combine like terms: 5 + -6 = -1
-1 + -15 + -3x = 4x + 22 + -5x

Combine like terms: -1 + -15 = -16
-16 + -3x = 4x + 22 + -5x

Reorder the terms:
-16 + -3x = 22 + 4x + -5x

Combine like terms: 4x + -5x = -1x
-16 + -3x = 22 + -1x

Solving
-16 + -3x = 22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + -3x + x = 22 + -1x + x

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

Combine like terms: -1x + x = 0
-16 + -2x = 22 + 0
-16 + -2x = 22

Add '16' to each side of the equation.
-16 + 16 + -2x = 22 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 22 + 16
-2x = 22 + 16

Combine like terms: 22 + 16 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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