Solve 1/2x+18=3x+6

$$\frac { 1 } { 2 } x + 18 = 3 x + 6$$

Solve for x

$$x = \frac{24}{5} = 4\frac{4}{5} = 4.8$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$\frac{1}{2}x+18-3x=6$$

Combine \frac{1}{2}x and -3x to get -\frac{5}{2}x.

$$-\frac{5}{2}x+18=6$$

Subtract 18 from both sides.

$$-\frac{5}{2}x=6-18$$

Subtract 18 from 6 to get -12.

$$-\frac{5}{2}x=-12$$

Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.

$$x=-12\left(-\frac{2}{5}\right)$$

Express -12\left(-\frac{2}{5}\right) as a single fraction.

$$x=\frac{-12\left(-2\right)}{5}$$

Multiply -12 and -2 to get 24.

$$x=\frac{24}{5}$$