7-3x+1=4x+1

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Solution for 7-3x+1=4x+1 equation:


Simplifying
7 + -3x + 1 = 4x + 1

Reorder the terms:
7 + 1 + -3x = 4x + 1

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

Combine like terms: 4x + -4x = 0
8 + -7x = 1 + 0
8 + -7x = 1

Add '-8' to each side of the equation.
8 + -8 + -7x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 1 + -8
-7x = 1 + -8

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

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

Simplifying
x = 1

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