Solve 90*(x+5/3)=150x

$$90 \cdot ( x + \frac { 5 } { 3 } ) = 150 x$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 90 by x+\frac{5}{3}.

$$90x+90\times \frac{5}{3}=150x$$

Express 90\times \frac{5}{3} as a single fraction.

$$90x+\frac{90\times 5}{3}=150x$$

Multiply 90 and 5 to get 450.

$$90x+\frac{450}{3}=150x$$

Divide 450 by 3 to get 150.

$$90x+150=150x$$

Subtract 150x from both sides.

$$90x+150-150x=0$$

Combine 90x and -150x to get -60x.

$$-60x+150=0$$

Subtract 150 from both sides. Anything subtracted from zero gives its negation.

$$-60x=-150$$

Divide both sides by -60.

$$x=\frac{-150}{-60}$$

Reduce the fraction \frac{-150}{-60} to lowest terms by extracting and canceling out -30.

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