3(x+3)+2(2x+5)+x=117

Solution for 3(x+3)+2(2x+5)+x=117 equation:

Simplifying
3(x + 3) + 2(2x + 5) + x = 117

Reorder the terms:
3(3 + x) + 2(2x + 5) + x = 117
(3 * 3 + x * 3) + 2(2x + 5) + x = 117
(9 + 3x) + 2(2x + 5) + x = 117

Reorder the terms:
9 + 3x + 2(5 + 2x) + x = 117
9 + 3x + (5 * 2 + 2x * 2) + x = 117
9 + 3x + (10 + 4x) + x = 117

Reorder the terms:
9 + 10 + 3x + 4x + x = 117

Combine like terms: 9 + 10 = 19
19 + 3x + 4x + x = 117

Combine like terms: 3x + 4x = 7x
19 + 7x + x = 117

Combine like terms: 7x + x = 8x
19 + 8x = 117

Solving
19 + 8x = 117

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 8x = 117 + -19

Combine like terms: 19 + -19 = 0
0 + 8x = 117 + -19
8x = 117 + -19

Combine like terms: 117 + -19 = 98
8x = 98

Divide each side by '8'.
x = 12.25

Simplifying
x = 12.25