(x-7)+(3x+10)=31

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Solution for (x-7)+(3x+10)=31 equation:


Simplifying
(x + -7) + (3x + 10) = 31

Reorder the terms:
(-7 + x) + (3x + 10) = 31

Remove parenthesis around (-7 + x)
-7 + x + (3x + 10) = 31

Reorder the terms:
-7 + x + (10 + 3x) = 31

Remove parenthesis around (10 + 3x)
-7 + x + 10 + 3x = 31

Reorder the terms:
-7 + 10 + x + 3x = 31

Combine like terms: -7 + 10 = 3
3 + x + 3x = 31

Combine like terms: x + 3x = 4x
3 + 4x = 31

Solving
3 + 4x = 31

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 31 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 31 + -3
4x = 31 + -3

Combine like terms: 31 + -3 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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