7x+3(2-x)+x=2+x

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Solution for 7x+3(2-x)+x=2+x equation:


Simplifying
7x + 3(2 + -1x) + x = 2 + x
7x + (2 * 3 + -1x * 3) + x = 2 + x
7x + (6 + -3x) + x = 2 + x

Reorder the terms:
6 + 7x + -3x + x = 2 + x

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

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

Solving
6 + 5x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 5x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
6 + 4x = 2 + 0
6 + 4x = 2

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

Combine like terms: 6 + -6 = 0
0 + 4x = 2 + -6
4x = 2 + -6

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

Divide each side by '4'.
x = -1

Simplifying
x = -1

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