15+3x=2(-x+2)-19

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Solution for 15+3x=2(-x+2)-19 equation:


Simplifying
15 + 3x = 2(-1x + 2) + -19

Reorder the terms:
15 + 3x = 2(2 + -1x) + -19
15 + 3x = (2 * 2 + -1x * 2) + -19
15 + 3x = (4 + -2x) + -19

Reorder the terms:
15 + 3x = 4 + -19 + -2x

Combine like terms: 4 + -19 = -15
15 + 3x = -15 + -2x

Solving
15 + 3x = -15 + -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.
15 + 3x + 2x = -15 + -2x + 2x

Combine like terms: 3x + 2x = 5x
15 + 5x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 5x = -15 + 0
15 + 5x = -15

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

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

Combine like terms: -15 + -15 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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