Solve 338=1/2*3x*1/2

$$338 = \frac { 1 } { 2 } \times 3 x \times \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{1352}{3} = 450\frac{2}{3} \approx 450.666666667$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$338=\frac{3}{2}x\times \frac{1}{2}$$

Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$338=\frac{3\times 1}{2\times 2}x$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 2}.

$$338=\frac{3}{4}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{4}x=338$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=338\times \frac{4}{3}$$

Express 338\times \frac{4}{3} as a single fraction.

$$x=\frac{338\times 4}{3}$$

Multiply 338 and 4 to get 1352.

$$x=\frac{1352}{3}$$