5x-8=-3x+1

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Solution for 5x-8=-3x+1 equation:


Simplifying
5x + -8 = -3x + 1

Reorder the terms:
-8 + 5x = -3x + 1

Reorder the terms:
-8 + 5x = 1 + -3x

Solving
-8 + 5x = 1 + -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.
-8 + 5x + 3x = 1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-8 + 8x = 1 + 0
-8 + 8x = 1

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

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

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

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

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