(x+7)+(2x-12)+(3x+4)=90

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Solution for (x+7)+(2x-12)+(3x+4)=90 equation:


Simplifying
(x + 7) + (2x + -12) + (3x + 4) = 90

Reorder the terms:
(7 + x) + (2x + -12) + (3x + 4) = 90

Remove parenthesis around (7 + x)
7 + x + (2x + -12) + (3x + 4) = 90

Reorder the terms:
7 + x + (-12 + 2x) + (3x + 4) = 90

Remove parenthesis around (-12 + 2x)
7 + x + -12 + 2x + (3x + 4) = 90

Reorder the terms:
7 + x + -12 + 2x + (4 + 3x) = 90

Remove parenthesis around (4 + 3x)
7 + x + -12 + 2x + 4 + 3x = 90

Reorder the terms:
7 + -12 + 4 + x + 2x + 3x = 90

Combine like terms: 7 + -12 = -5
-5 + 4 + x + 2x + 3x = 90

Combine like terms: -5 + 4 = -1
-1 + x + 2x + 3x = 90

Combine like terms: x + 2x = 3x
-1 + 3x + 3x = 90

Combine like terms: 3x + 3x = 6x
-1 + 6x = 90

Solving
-1 + 6x = 90

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 6x = 90 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 90 + 1
6x = 90 + 1

Combine like terms: 90 + 1 = 91
6x = 91

Divide each side by '6'.
x = 15.16666667

Simplifying
x = 15.16666667

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