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

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

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

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

Reorder the terms:
-3 + x = 4 + -2(5 + x)
-3 + x = 4 + (5 * -2 + x * -2)
-3 + x = 4 + (-10 + -2x)

Combine like terms: 4 + -10 = -6
-3 + x = -6 + -2x

Solving
-3 + x = -6 + -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.
-3 + x + 2x = -6 + -2x + 2x

Combine like terms: x + 2x = 3x
-3 + 3x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 3x = -6 + 0
-3 + 3x = -6

Add '3' to each side of the equation.
-3 + 3 + 3x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -6 + 3
3x = -6 + 3

Combine like terms: -6 + 3 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1