Solve 35x+35/2(12-x)=350

$$35 x + \frac { 35 } { 2 } ( 12 - x ) = 350$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{35}{2} by 12-x.

$$35x+\frac{35}{2}\times 12+\frac{35}{2}\left(-1\right)x=350$$

Express \frac{35}{2}\times 12 as a single fraction.

$$35x+\frac{35\times 12}{2}+\frac{35}{2}\left(-1\right)x=350$$

Multiply 35 and 12 to get 420.

$$35x+\frac{420}{2}+\frac{35}{2}\left(-1\right)x=350$$

Divide 420 by 2 to get 210.

$$35x+210+\frac{35}{2}\left(-1\right)x=350$$

Multiply \frac{35}{2} and -1 to get -\frac{35}{2}.

$$35x+210-\frac{35}{2}x=350$$

Combine 35x and -\frac{35}{2}x to get \frac{35}{2}x.

$$\frac{35}{2}x+210=350$$

Subtract 210 from both sides.

$$\frac{35}{2}x=350-210$$

Subtract 210 from 350 to get 140.

$$\frac{35}{2}x=140$$

Multiply both sides by \frac{2}{35}, the reciprocal of \frac{35}{2}.

$$x=140\times \frac{2}{35}$$

Express 140\times \frac{2}{35} as a single fraction.

$$x=\frac{140\times 2}{35}$$

Multiply 140 and 2 to get 280.

$$x=\frac{280}{35}$$

Divide 280 by 35 to get 8.

$$x=8$$