8x-2-5x+7=2x+1

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Solution for 8x-2-5x+7=2x+1 equation:


Simplifying
8x + -2 + -5x + 7 = 2x + 1

Reorder the terms:
-2 + 7 + 8x + -5x = 2x + 1

Combine like terms: -2 + 7 = 5
5 + 8x + -5x = 2x + 1

Combine like terms: 8x + -5x = 3x
5 + 3x = 2x + 1

Reorder the terms:
5 + 3x = 1 + 2x

Solving
5 + 3x = 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 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
5 + 1x = 1 + 2x + -2x

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

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

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

Combine like terms: 1 + -5 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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