Answer
x=9
Work Step by Step
Simplifying
4(x + 18) = 2(4x + 18)
Reorder the terms:
4(18 + x) = 2(4x + 18)
(18 * 4 + x * 4) = 2(4x + 18)
(72 + 4x) = 2(4x + 18)
Reorder the terms:
72 + 4x = 2(18 + 4x)
72 + 4x = (18 * 2 + 4x * 2)
72 + 4x = (36 + 8x)
Solving
72 + 4x = 36 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
72 + 4x + -8x = 36 + 8x + -8x
Combine like terms: 4x + -8x = -4x
72 + -4x = 36 + 8x + -8x
Combine like terms: 8x + -8x = 0
72 + -4x = 36 + 0
72 + -4x = 36
Add '-72' to each side of the equation.
72 + -72 + -4x = 36 + -72
Combine like terms: 72 + -72 = 0
0 + -4x = 36 + -72
-4x = 36 + -72
Combine like terms: 36 + -72 = -36
-4x = -36
Divide each side by '-4'.
x = 9
Simplifying
x = 9
