8x-5=-2x+1

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Solution for 8x-5=-2x+1 equation:


Simplifying
8x + -5 = -2x + 1

Reorder the terms:
-5 + 8x = -2x + 1

Reorder the terms:
-5 + 8x = 1 + -2x

Solving
-5 + 8x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-5 + 8x + 2x = 1 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-5 + 10x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 10x = 1 + 0
-5 + 10x = 1

Add '5' to each side of the equation.
-5 + 5 + 10x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 1 + 5
10x = 1 + 5

Combine like terms: 1 + 5 = 6
10x = 6

Divide each side by '10'.
x = 0.6

Simplifying
x = 0.6

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