2(x+5)+4(-x)=(-x)+20

Solution for 2(x+5)+4(-x)=(-x)+20 equation:

Simplifying
2(x + 5) + 4(-1x) = (-1x) + 20

Reorder the terms:
2(5 + x) + 4(-1x) = (-1x) + 20
(5 * 2 + x * 2) + 4(-1x) = (-1x) + 20
(10 + 2x) + 4(-1x) = (-1x) + 20

Remove parenthesis around (-1x)
10 + 2x + 4 * -1x = (-1x) + 20

Multiply 4 * -1
10 + 2x + -4x = (-1x) + 20

Combine like terms: 2x + -4x = -2x
10 + -2x = (-1x) + 20

Reorder the terms:
10 + -2x = 20 + (-1x)

Solving
10 + -2x = 20 + (-1x)

Solving for variable 'x'.

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

Add '(x)' to each side of the equation.
10 + -2x + (x) = 20 + (-1x) + (x)
10 + -2x + x = 20 + (-1x) + (x)

Combine like terms: -2x + x = -1x
10 + -1x = 20 + (-1x) + (x)
10 + -1x = 20 + (-1x) + x

Combine like terms: (-1x) + x = 0
10 + -1x = 20 + 0
10 + -1x = 20

Add '-10' to each side of the equation.
10 + -10 + -1x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 20 + -10
-1x = 20 + -10

Combine like terms: 20 + -10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10