9-5x+1=3x+2

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


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

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

Combine like terms: 9 + 1 = 10
10 + -5x = 3x + 2

Reorder the terms:
10 + -5x = 2 + 3x

Solving
10 + -5x = 2 + 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.
10 + -5x + -3x = 2 + 3x + -3x

Combine like terms: -5x + -3x = -8x
10 + -8x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -8x = 2 + 0
10 + -8x = 2

Add '-10' to each side of the equation.
10 + -10 + -8x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 2 + -10
-8x = 2 + -10

Combine like terms: 2 + -10 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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