x-3=2(x-4-33)

Solution for x-3=2(x-4-33) equation:

Simplifying
x + -3 = 2(x + -4 + -33)

Reorder the terms:
-3 + x = 2(x + -4 + -33)

Reorder the terms:
-3 + x = 2(-4 + -33 + x)

Combine like terms: -4 + -33 = -37
-3 + x = 2(-37 + x)
-3 + x = (-37 * 2 + x * 2)
-3 + x = (-74 + 2x)

Solving
-3 + x = -74 + 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 = -74 + 2x + -2x

Combine like terms: x + -2x = -1x
-3 + -1x = -74 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -1x = -74 + 0
-3 + -1x = -74

Add '3' to each side of the equation.
-3 + 3 + -1x = -74 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -74 + 3
-1x = -74 + 3

Combine like terms: -74 + 3 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71