5x-3x+x+8=4x+1

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Solution for 5x-3x+x+8=4x+1 equation: 


Simplifying
5x + -3x + x + 8 = 4x + 1

Reorder the terms:
8 + 5x + -3x + x = 4x + 1

Combine like terms: 5x + -3x = 2x
8 + 2x + x = 4x + 1

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

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

Solving
8 + 3x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 3x + -4x = 1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -1x = 1 + 0
8 + -1x = 1

Add '-8' to each side of the equation.
8 + -8 + -1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 1 + -8
-1x = 1 + -8

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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