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

Solution for 5(x+2)+2(x+3)=100 equation:

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

Reorder the terms:
5(2 + x) + 2(x + 3) = 100
(2 * 5 + x * 5) + 2(x + 3) = 100
(10 + 5x) + 2(x + 3) = 100

Reorder the terms:
10 + 5x + 2(3 + x) = 100
10 + 5x + (3 * 2 + x * 2) = 100
10 + 5x + (6 + 2x) = 100

Reorder the terms:
10 + 6 + 5x + 2x = 100

Combine like terms: 10 + 6 = 16
16 + 5x + 2x = 100

Combine like terms: 5x + 2x = 7x
16 + 7x = 100

Solving
16 + 7x = 100

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 7x = 100 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 100 + -16
7x = 100 + -16

Combine like terms: 100 + -16 = 84
7x = 84

Divide each side by '7'.
x = 12

Simplifying
x = 12