7x+1-4x=4x-5+1

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Solution for 7x+1-4x=4x-5+1 equation: 


Simplifying
7x + 1 + -4x = 4x + -5 + 1

Reorder the terms:
1 + 7x + -4x = 4x + -5 + 1

Combine like terms: 7x + -4x = 3x
1 + 3x = 4x + -5 + 1

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

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

Solving
1 + 3x = -4 + 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.
1 + 3x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 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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