3x-5x+6x-9=7x+2x-9x+1

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Solution for 3x-5x+6x-9=7x+2x-9x+1 equation:


Simplifying
3x + -5x + 6x + -9 = 7x + 2x + -9x + 1

Reorder the terms:
-9 + 3x + -5x + 6x = 7x + 2x + -9x + 1

Combine like terms: 3x + -5x = -2x
-9 + -2x + 6x = 7x + 2x + -9x + 1

Combine like terms: -2x + 6x = 4x
-9 + 4x = 7x + 2x + -9x + 1

Reorder the terms:
-9 + 4x = 1 + 7x + 2x + -9x

Combine like terms: 7x + 2x = 9x
-9 + 4x = 1 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + 4x = 1 + 0
-9 + 4x = 1

Solving
-9 + 4x = 1

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 4x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 1 + 9
4x = 1 + 9

Combine like terms: 1 + 9 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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