3x-9=-5x+1

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


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

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

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

Solving
-9 + 3x = 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.
-9 + 3x + 5x = 1 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-9 + 8x = 1 + 0
-9 + 8x = 1

Add '9' to each side of the equation.
-9 + 9 + 8x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 1 + 9
8x = 1 + 9

Combine like terms: 1 + 9 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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