10x+2-8x+1=8x+1-x+3

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Solution for 10x+2-8x+1=8x+1-x+3 equation:


Simplifying
10x + 2 + -8x + 1 = 8x + 1 + -1x + 3

Reorder the terms:
2 + 1 + 10x + -8x = 8x + 1 + -1x + 3

Combine like terms: 2 + 1 = 3
3 + 10x + -8x = 8x + 1 + -1x + 3

Combine like terms: 10x + -8x = 2x
3 + 2x = 8x + 1 + -1x + 3

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

Combine like terms: 1 + 3 = 4
3 + 2x = 4 + 8x + -1x

Combine like terms: 8x + -1x = 7x
3 + 2x = 4 + 7x

Solving
3 + 2x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 2x + -7x = 4 + 7x + -7x

Combine like terms: 2x + -7x = -5x
3 + -5x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -5x = 4 + 0
3 + -5x = 4

Add '-3' to each side of the equation.
3 + -3 + -5x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 4 + -3
-5x = 4 + -3

Combine like terms: 4 + -3 = 1
-5x = 1

Divide each side by '-5'.
x = -0.2

Simplifying
x = -0.2

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