Solve 150*2/5+x=2*(150*3/5-x)

$$150 \times \frac { 2 } { 5 } + x = 2 \times ( 150 \times \frac { 3 } { 5 } - x )$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Express 150\times \frac{2}{5} as a single fraction.

$$\frac{150\times 2}{5}+x=2\left(150\times \frac{3}{5}-x\right)$$

Multiply 150 and 2 to get 300.

$$\frac{300}{5}+x=2\left(150\times \frac{3}{5}-x\right)$$

Divide 300 by 5 to get 60.

$$60+x=2\left(150\times \frac{3}{5}-x\right)$$

Express 150\times \frac{3}{5} as a single fraction.

$$60+x=2\left(\frac{150\times 3}{5}-x\right)$$

Multiply 150 and 3 to get 450.

$$60+x=2\left(\frac{450}{5}-x\right)$$

Divide 450 by 5 to get 90.

$$60+x=2\left(90-x\right)$$

Use the distributive property to multiply 2 by 90-x.

$$60+x=180-2x$$

Add 2x to both sides.

$$60+x+2x=180$$

Combine x and 2x to get 3x.

$$60+3x=180$$

Subtract 60 from both sides.

$$3x=180-60$$

Subtract 60 from 180 to get 120.

$$3x=120$$

Divide both sides by 3.

$$x=\frac{120}{3}$$

Divide 120 by 3 to get 40.

$$x=40$$