7x+5-3x=12-2x+1

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Solution for 7x+5-3x=12-2x+1 equation:


Simplifying
7x + 5 + -3x = 12 + -2x + 1

Reorder the terms:
5 + 7x + -3x = 12 + -2x + 1

Combine like terms: 7x + -3x = 4x
5 + 4x = 12 + -2x + 1

Reorder the terms:
5 + 4x = 12 + 1 + -2x

Combine like terms: 12 + 1 = 13
5 + 4x = 13 + -2x

Solving
5 + 4x = 13 + -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.
5 + 4x + 2x = 13 + -2x + 2x

Combine like terms: 4x + 2x = 6x
5 + 6x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 6x = 13 + 0
5 + 6x = 13

Add '-5' to each side of the equation.
5 + -5 + 6x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 13 + -5
6x = 13 + -5

Combine like terms: 13 + -5 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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