2(x-8)=3(x-5)

Solution for 2(x-8)=3(x-5) equation:

Simplifying
2(x + -8) = 3(x + -5)

Reorder the terms:
2(-8 + x) = 3(x + -5)
(-8 * 2 + x * 2) = 3(x + -5)
(-16 + 2x) = 3(x + -5)

Reorder the terms:
-16 + 2x = 3(-5 + x)
-16 + 2x = (-5 * 3 + x * 3)
-16 + 2x = (-15 + 3x)

Solving
-16 + 2x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-16 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -1x = -15 + 0
-16 + -1x = -15

Add '16' to each side of the equation.
-16 + 16 + -1x = -15 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -15 + 16
-1x = -15 + 16

Combine like terms: -15 + 16 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1