3x+6=32(2+x)

Solution for 3x+6=32(2+x) equation:

Simplifying
3x + 6 = 32(2 + x)

Reorder the terms:
6 + 3x = 32(2 + x)
6 + 3x = (2 * 32 + x * 32)
6 + 3x = (64 + 32x)

Solving
6 + 3x = 64 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
6 + 3x + -32x = 64 + 32x + -32x

Combine like terms: 3x + -32x = -29x
6 + -29x = 64 + 32x + -32x

Combine like terms: 32x + -32x = 0
6 + -29x = 64 + 0
6 + -29x = 64

Add '-6' to each side of the equation.
6 + -6 + -29x = 64 + -6

Combine like terms: 6 + -6 = 0
0 + -29x = 64 + -6
-29x = 64 + -6

Combine like terms: 64 + -6 = 58
-29x = 58

Divide each side by '-29'.
x = -2

Simplifying
x = -2