3x+2-5x-7x+9=8x-1+7x

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Solution for 3x+2-5x-7x+9=8x-1+7x equation: 


Simplifying
3x + 2 + -5x + -7x + 9 = 8x + -1 + 7x

Reorder the terms:
2 + 9 + 3x + -5x + -7x = 8x + -1 + 7x

Combine like terms: 2 + 9 = 11
11 + 3x + -5x + -7x = 8x + -1 + 7x

Combine like terms: 3x + -5x = -2x
11 + -2x + -7x = 8x + -1 + 7x

Combine like terms: -2x + -7x = -9x
11 + -9x = 8x + -1 + 7x

Reorder the terms:
11 + -9x = -1 + 8x + 7x

Combine like terms: 8x + 7x = 15x
11 + -9x = -1 + 15x

Solving
11 + -9x = -1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
11 + -9x + -15x = -1 + 15x + -15x

Combine like terms: -9x + -15x = -24x
11 + -24x = -1 + 15x + -15x

Combine like terms: 15x + -15x = 0
11 + -24x = -1 + 0
11 + -24x = -1

Add '-11' to each side of the equation.
11 + -11 + -24x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -24x = -1 + -11
-24x = -1 + -11

Combine like terms: -1 + -11 = -12
-24x = -12

Divide each side by '-24'.
x = 0.5

Simplifying
x = 0.5

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