2x+3x+1+x=4x+x-5+2x+1

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Solution for 2x+3x+1+x=4x+x-5+2x+1 equation: 


Simplifying
2x + 3x + 1 + x = 4x + x + -5 + 2x + 1

Reorder the terms:
1 + 2x + 3x + x = 4x + x + -5 + 2x + 1

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

Combine like terms: 5x + x = 6x
1 + 6x = 4x + x + -5 + 2x + 1

Reorder the terms:
1 + 6x = -5 + 1 + 4x + x + 2x

Combine like terms: -5 + 1 = -4
1 + 6x = -4 + 4x + x + 2x

Combine like terms: 4x + x = 5x
1 + 6x = -4 + 5x + 2x

Combine like terms: 5x + 2x = 7x
1 + 6x = -4 + 7x

Solving
1 + 6x = -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.
1 + 6x + -7x = -4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
1 + -1x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -1x = -4 + 0
1 + -1x = -4

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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