9x+12-3x+21=x+18-3x+10

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Solution for 9x+12-3x+21=x+18-3x+10 equation:


Simplifying
9x + 12 + -3x + 21 = x + 18 + -3x + 10

Reorder the terms:
12 + 21 + 9x + -3x = x + 18 + -3x + 10

Combine like terms: 12 + 21 = 33
33 + 9x + -3x = x + 18 + -3x + 10

Combine like terms: 9x + -3x = 6x
33 + 6x = x + 18 + -3x + 10

Reorder the terms:
33 + 6x = 18 + 10 + x + -3x

Combine like terms: 18 + 10 = 28
33 + 6x = 28 + x + -3x

Combine like terms: x + -3x = -2x
33 + 6x = 28 + -2x

Solving
33 + 6x = 28 + -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.
33 + 6x + 2x = 28 + -2x + 2x

Combine like terms: 6x + 2x = 8x
33 + 8x = 28 + -2x + 2x

Combine like terms: -2x + 2x = 0
33 + 8x = 28 + 0
33 + 8x = 28

Add '-33' to each side of the equation.
33 + -33 + 8x = 28 + -33

Combine like terms: 33 + -33 = 0
0 + 8x = 28 + -33
8x = 28 + -33

Combine like terms: 28 + -33 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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