(3x+4)=(9+31-x)

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Solution for (3x+4)=(9+31-x) equation:


Simplifying
(3x + 4) = (9 + 31 + -1x)

Reorder the terms:
(4 + 3x) = (9 + 31 + -1x)

Remove parenthesis around (4 + 3x)
4 + 3x = (9 + 31 + -1x)

Combine like terms: 9 + 31 = 40
4 + 3x = (40 + -1x)

Remove parenthesis around (40 + -1x)
4 + 3x = 40 + -1x

Solving
4 + 3x = 40 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 3x + x = 40 + -1x + x

Combine like terms: 3x + x = 4x
4 + 4x = 40 + -1x + x

Combine like terms: -1x + x = 0
4 + 4x = 40 + 0
4 + 4x = 40

Add '-4' to each side of the equation.
4 + -4 + 4x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 40 + -4
4x = 40 + -4

Combine like terms: 40 + -4 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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