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

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

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

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

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

Combine like terms: -2x + 3x = 1x
-6 + 1x = 2(x + 5)

Reorder the terms:
-6 + 1x = 2(5 + x)
-6 + 1x = (5 * 2 + x * 2)
-6 + 1x = (10 + 2x)

Solving
-6 + 1x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 1x + -2x = 10 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-6 + -1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -1x = 10 + 0
-6 + -1x = 10

Add '6' to each side of the equation.
-6 + 6 + -1x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 10 + 6
-1x = 10 + 6

Combine like terms: 10 + 6 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16