-3(x-2)-2(x-7)=5

Solution for -3(x-2)-2(x-7)=5 equation:

Simplifying
-3(x + -2) + -2(x + -7) = 5

Reorder the terms:
-3(-2 + x) + -2(x + -7) = 5
(-2 * -3 + x * -3) + -2(x + -7) = 5
(6 + -3x) + -2(x + -7) = 5

Reorder the terms:
6 + -3x + -2(-7 + x) = 5
6 + -3x + (-7 * -2 + x * -2) = 5
6 + -3x + (14 + -2x) = 5

Reorder the terms:
6 + 14 + -3x + -2x = 5

Combine like terms: 6 + 14 = 20
20 + -3x + -2x = 5

Combine like terms: -3x + -2x = -5x
20 + -5x = 5

Solving
20 + -5x = 5

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -5x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 5 + -20
-5x = 5 + -20

Combine like terms: 5 + -20 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3