5x+3(x+2)=54

Solution for 5x+3(x+2)=54 equation:

Simplifying
5x + 3(x + 2) = 54

Reorder the terms:
5x + 3(2 + x) = 54
5x + (2 * 3 + x * 3) = 54
5x + (6 + 3x) = 54

Reorder the terms:
6 + 5x + 3x = 54

Combine like terms: 5x + 3x = 8x
6 + 8x = 54

Solving
6 + 8x = 54

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 8x = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 54 + -6
8x = 54 + -6

Combine like terms: 54 + -6 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6