5+2(x-3)=2(5-4(x+2))

Solution for 5+2(x-3)=2(5-4(x+2)) equation:

Simplifying
5 + 2(x + -3) = 2(5 + -4(x + 2))

Reorder the terms:
5 + 2(-3 + x) = 2(5 + -4(x + 2))
5 + (-3 * 2 + x * 2) = 2(5 + -4(x + 2))
5 + (-6 + 2x) = 2(5 + -4(x + 2))

Combine like terms: 5 + -6 = -1
-1 + 2x = 2(5 + -4(x + 2))

Reorder the terms:
-1 + 2x = 2(5 + -4(2 + x))
-1 + 2x = 2(5 + (2 * -4 + x * -4))
-1 + 2x = 2(5 + (-8 + -4x))

Combine like terms: 5 + -8 = -3
-1 + 2x = 2(-3 + -4x)
-1 + 2x = (-3 * 2 + -4x * 2)
-1 + 2x = (-6 + -8x)

Solving
-1 + 2x = -6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-1 + 2x + 8x = -6 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-1 + 10x = -6 + -8x + 8x

Combine like terms: -8x + 8x = 0
-1 + 10x = -6 + 0
-1 + 10x = -6

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

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

Combine like terms: -6 + 1 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5