Solve 2(20x+8)=3(14-30x)

$$2 ( 20 x + 8 ) = 3 ( 14 - 30 x )$$

Solve for x

$$x=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 20x+8.

$$40x+16=3\left(14-30x\right)$$

Use the distributive property to multiply 3 by 14-30x.

$$40x+16=42-90x$$

Add 90x to both sides.

$$40x+16+90x=42$$

Combine 40x and 90x to get 130x.

$$130x+16=42$$

Subtract 16 from both sides.

$$130x=42-16$$

Subtract 16 from 42 to get 26.

$$130x=26$$

Divide both sides by 130.

$$x=\frac{26}{130}$$

Reduce the fraction \frac{26}{130} to lowest terms by extracting and canceling out 26.

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