8x+1=2x-2

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


Simplifying
8x + 1 = 2x + -2

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

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

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

Combine like terms: 8x + -2x = 6x
1 + 6x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 6x = -2 + 0
1 + 6x = -2

Add '-1' to each side of the equation.
1 + -1 + 6x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = -2 + -1
6x = -2 + -1

Combine like terms: -2 + -1 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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