42=32-2(x-3)

Solution for 42=32-2(x-3) equation:

Simplifying
42 = 32 + -2(x + -3)

Reorder the terms:
42 = 32 + -2(-3 + x)
42 = 32 + (-3 * -2 + x * -2)
42 = 32 + (6 + -2x)

Combine like terms: 32 + 6 = 38
42 = 38 + -2x

Solving
42 = 38 + -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.
42 + 2x = 38 + -2x + 2x

Combine like terms: -2x + 2x = 0
42 + 2x = 38 + 0
42 + 2x = 38

Add '-42' to each side of the equation.
42 + -42 + 2x = 38 + -42

Combine like terms: 42 + -42 = 0
0 + 2x = 38 + -42
2x = 38 + -42

Combine like terms: 38 + -42 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2