2x+3=8x-2

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Solution for 2x+3=8x-2 equation:


Simplifying
2x + 3 = 8x + -2

Reorder the terms:
3 + 2x = 8x + -2

Reorder the terms:
3 + 2x = -2 + 8x

Solving
3 + 2x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 2x + -8x = -2 + 8x + -8x

Combine like terms: 2x + -8x = -6x
3 + -6x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -6x = -2 + 0
3 + -6x = -2

Add '-3' to each side of the equation.
3 + -3 + -6x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -2 + -3
-6x = -2 + -3

Combine like terms: -2 + -3 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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