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

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

Simplifying
2(x + 5) = 3(x + -1(2 + -1x))

Reorder the terms:
2(5 + x) = 3(x + -1(2 + -1x))
(5 * 2 + x * 2) = 3(x + -1(2 + -1x))
(10 + 2x) = 3(x + -1(2 + -1x))
10 + 2x = 3(x + (2 * -1 + -1x * -1))
10 + 2x = 3(x + (-2 + 1x))

Reorder the terms:
10 + 2x = 3(-2 + x + 1x)

Combine like terms: x + 1x = 2x
10 + 2x = 3(-2 + 2x)
10 + 2x = (-2 * 3 + 2x * 3)
10 + 2x = (-6 + 6x)

Solving
10 + 2x = -6 + 6x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -6x = -4x
10 + -4x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x = -6 + 0
10 + -4x = -6

Add '-10' to each side of the equation.
10 + -10 + -4x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -6 + -10
-4x = -6 + -10

Combine like terms: -6 + -10 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4