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

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

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

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

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

Reorder the terms:
-6 + -10 + 3x + -2x = 100

Combine like terms: -6 + -10 = -16
-16 + 3x + -2x = 100

Combine like terms: 3x + -2x = 1x
-16 + 1x = 100

Solving
-16 + 1x = 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 + 1x = 100 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 100 + 16
1x = 100 + 16

Combine like terms: 100 + 16 = 116
1x = 116

Divide each side by '1'.
x = 116

Simplifying
x = 116