2(5x-3)+2(x+6)=2(x-10)-(x+5)

Solution for 2(5x-3)+2(x+6)=2(x-10)-(x+5) equation:

Simplifying
2(5x + -3) + 2(x + 6) = 2(x + -10) + -1(x + 5)

Reorder the terms:
2(-3 + 5x) + 2(x + 6) = 2(x + -10) + -1(x + 5)
(-3 * 2 + 5x * 2) + 2(x + 6) = 2(x + -10) + -1(x + 5)
(-6 + 10x) + 2(x + 6) = 2(x + -10) + -1(x + 5)

Reorder the terms:
-6 + 10x + 2(6 + x) = 2(x + -10) + -1(x + 5)
-6 + 10x + (6 * 2 + x * 2) = 2(x + -10) + -1(x + 5)
-6 + 10x + (12 + 2x) = 2(x + -10) + -1(x + 5)

Reorder the terms:
-6 + 12 + 10x + 2x = 2(x + -10) + -1(x + 5)

Combine like terms: -6 + 12 = 6
6 + 10x + 2x = 2(x + -10) + -1(x + 5)

Combine like terms: 10x + 2x = 12x
6 + 12x = 2(x + -10) + -1(x + 5)

Reorder the terms:
6 + 12x = 2(-10 + x) + -1(x + 5)
6 + 12x = (-10 * 2 + x * 2) + -1(x + 5)
6 + 12x = (-20 + 2x) + -1(x + 5)

Reorder the terms:
6 + 12x = -20 + 2x + -1(5 + x)
6 + 12x = -20 + 2x + (5 * -1 + x * -1)
6 + 12x = -20 + 2x + (-5 + -1x)

Reorder the terms:
6 + 12x = -20 + -5 + 2x + -1x

Combine like terms: -20 + -5 = -25
6 + 12x = -25 + 2x + -1x

Combine like terms: 2x + -1x = 1x
6 + 12x = -25 + 1x

Solving
6 + 12x = -25 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 12x + -1x = -25 + 1x + -1x

Combine like terms: 12x + -1x = 11x
6 + 11x = -25 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 11x = -25 + 0
6 + 11x = -25

Add '-6' to each side of the equation.
6 + -6 + 11x = -25 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = -25 + -6
11x = -25 + -6

Combine like terms: -25 + -6 = -31
11x = -31

Divide each side by '11'.
x = -2.818181818

Simplifying
x = -2.818181818