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

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

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

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

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

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

Solving
-6 + 3x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = 10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = 10 + 0
-6 + -2x = 10

Add '6' to each side of the equation.
-6 + 6 + -2x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 10 + 6
-2x = 10 + 6

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

Divide each side by '-2'.
x = -8

Simplifying
x = -8