2(x+21)=3(x)

Solution for 2(x+21)=3(x) equation:

Simplifying
2(x + 21) = 3(x)

Reorder the terms:
2(21 + x) = 3(x)
(21 * 2 + x * 2) = 3(x)
(42 + 2x) = 3(x)

Solving
42 + 2x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
42 + 2x + -3x = 3x + -3x

Combine like terms: 2x + -3x = -1x
42 + -1x = 3x + -3x

Combine like terms: 3x + -3x = 0
42 + -1x = 0

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42