9-2x+6=5x+1

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


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

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

Combine like terms: 9 + 6 = 15
15 + -2x = 5x + 1

Reorder the terms:
15 + -2x = 1 + 5x

Solving
15 + -2x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -2x + -5x = 1 + 5x + -5x

Combine like terms: -2x + -5x = -7x
15 + -7x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -7x = 1 + 0
15 + -7x = 1

Add '-15' to each side of the equation.
15 + -15 + -7x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = 1 + -15
-7x = 1 + -15

Combine like terms: 1 + -15 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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