2(x+3)+3(x+1)=100

Solution for 2(x+3)+3(x+1)=100 equation:

Simplifying
2(x + 3) + 3(x + 1) = 100

Reorder the terms:
2(3 + x) + 3(x + 1) = 100
(3 * 2 + x * 2) + 3(x + 1) = 100
(6 + 2x) + 3(x + 1) = 100

Reorder the terms:
6 + 2x + 3(1 + x) = 100
6 + 2x + (1 * 3 + x * 3) = 100
6 + 2x + (3 + 3x) = 100

Reorder the terms:
6 + 3 + 2x + 3x = 100

Combine like terms: 6 + 3 = 9
9 + 2x + 3x = 100

Combine like terms: 2x + 3x = 5x
9 + 5x = 100

Solving
9 + 5x = 100

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 100 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 100 + -9
5x = 100 + -9

Combine like terms: 100 + -9 = 91
5x = 91

Divide each side by '5'.
x = 18.2

Simplifying
x = 18.2