Solve 1/2*5=3x-45

$$1 / 2 \times 5 = 3 x - 45$$

Solve for x

$$x = \frac{95}{6} = 15\frac{5}{6} \approx 15.833333333$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{5}{2}=3x-45$$

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

$$3x-45=\frac{5}{2}$$

Add 45 to both sides.

$$3x=\frac{5}{2}+45$$

Convert 45 to fraction \frac{90}{2}.

$$3x=\frac{5}{2}+\frac{90}{2}$$

Since \frac{5}{2} and \frac{90}{2} have the same denominator, add them by adding their numerators.

$$3x=\frac{5+90}{2}$$

Add 5 and 90 to get 95.

$$3x=\frac{95}{2}$$

Divide both sides by 3.

$$x=\frac{\frac{95}{2}}{3}$$

Express \frac{\frac{95}{2}}{3} as a single fraction.

$$x=\frac{95}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x=\frac{95}{6}$$