4x+1-2x+1=8x+3-x+1

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Solution for 4x+1-2x+1=8x+3-x+1 equation: 


Simplifying
4x + 1 + -2x + 1 = 8x + 3 + -1x + 1

Reorder the terms:
1 + 1 + 4x + -2x = 8x + 3 + -1x + 1

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

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

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

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

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

Solving
2 + 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.
2 + 2x + -7x = 4 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
2 + -5x = 4 + 0
2 + -5x = 4

Add '-2' to each side of the equation.
2 + -2 + -5x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 4 + -2
-5x = 4 + -2

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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