15-3x+2x-10=-9x+20-30

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Solution for 15-3x+2x-10=-9x+20-30 equation:


Simplifying
15 + -3x + 2x + -10 = -9x + 20 + -30

Reorder the terms:
15 + -10 + -3x + 2x = -9x + 20 + -30

Combine like terms: 15 + -10 = 5
5 + -3x + 2x = -9x + 20 + -30

Combine like terms: -3x + 2x = -1x
5 + -1x = -9x + 20 + -30

Reorder the terms:
5 + -1x = 20 + -30 + -9x

Combine like terms: 20 + -30 = -10
5 + -1x = -10 + -9x

Solving
5 + -1x = -10 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
5 + -1x + 9x = -10 + -9x + 9x

Combine like terms: -1x + 9x = 8x
5 + 8x = -10 + -9x + 9x

Combine like terms: -9x + 9x = 0
5 + 8x = -10 + 0
5 + 8x = -10

Add '-5' to each side of the equation.
5 + -5 + 8x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -10 + -5
8x = -10 + -5

Combine like terms: -10 + -5 = -15
8x = -15

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875

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