2x+9-x=8-(3x-6)

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Solution for 2x+9-x=8-(3x-6) equation:


Simplifying
2x + 9 + -1x = 8 + -1(3x + -6)

Reorder the terms:
9 + 2x + -1x = 8 + -1(3x + -6)

Combine like terms: 2x + -1x = 1x
9 + 1x = 8 + -1(3x + -6)

Reorder the terms:
9 + 1x = 8 + -1(-6 + 3x)
9 + 1x = 8 + (-6 * -1 + 3x * -1)
9 + 1x = 8 + (6 + -3x)

Combine like terms: 8 + 6 = 14
9 + 1x = 14 + -3x

Solving
9 + 1x = 14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9 + 1x + 3x = 14 + -3x + 3x

Combine like terms: 1x + 3x = 4x
9 + 4x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 4x = 14 + 0
9 + 4x = 14

Add '-9' to each side of the equation.
9 + -9 + 4x = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 14 + -9
4x = 14 + -9

Combine like terms: 14 + -9 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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