2x+1=8x-2x+3

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Solution for 2x+1=8x-2x+3 equation:


Simplifying
2x + 1 = 8x + -2x + 3

Reorder the terms:
1 + 2x = 8x + -2x + 3

Reorder the terms:
1 + 2x = 3 + 8x + -2x

Combine like terms: 8x + -2x = 6x
1 + 2x = 3 + 6x

Solving
1 + 2x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 2x + -6x = 3 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1 + -4x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -4x = 3 + 0
1 + -4x = 3

Add '-1' to each side of the equation.
1 + -1 + -4x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 3 + -1
-4x = 3 + -1

Combine like terms: 3 + -1 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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