7x+5-3x+1=2x+1

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Solution for 7x+5-3x+1=2x+1 equation:


Simplifying
7x + 5 + -3x + 1 = 2x + 1

Reorder the terms:
5 + 1 + 7x + -3x = 2x + 1

Combine like terms: 5 + 1 = 6
6 + 7x + -3x = 2x + 1

Combine like terms: 7x + -3x = 4x
6 + 4x = 2x + 1

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

Solving
6 + 4x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 4x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 2x = 1 + 0
6 + 2x = 1

Add '-6' to each side of the equation.
6 + -6 + 2x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 1 + -6
2x = 1 + -6

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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