7x-x+9=3x+18+x-20

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Solution for 7x-x+9=3x+18+x-20 equation:


Simplifying
7x + -1x + 9 = 3x + 18 + x + -20

Reorder the terms:
9 + 7x + -1x = 3x + 18 + x + -20

Combine like terms: 7x + -1x = 6x
9 + 6x = 3x + 18 + x + -20

Reorder the terms:
9 + 6x = 18 + -20 + 3x + x

Combine like terms: 18 + -20 = -2
9 + 6x = -2 + 3x + x

Combine like terms: 3x + x = 4x
9 + 6x = -2 + 4x

Solving
9 + 6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 6x + -4x = -2 + 4x + -4x

Combine like terms: 6x + -4x = 2x
9 + 2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 2x = -2 + 0
9 + 2x = -2

Add '-9' to each side of the equation.
9 + -9 + 2x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -2 + -9
2x = -2 + -9

Combine like terms: -2 + -9 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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