Solve 7(x+5)=3(7-x)

$$7(x+5)=3(7-x)$$

Solve for x

$$x = -\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x+5.

$$7x+35=3\left(7-x\right)$$

Use the distributive property to multiply 3 by 7-x.

$$7x+35=21-3x$$

Add 3x to both sides.

$$7x+35+3x=21$$

Combine 7x and 3x to get 10x.

$$10x+35=21$$

Subtract 35 from both sides.

$$10x=21-35$$

Subtract 35 from 21 to get -14.

$$10x=-14$$

Divide both sides by 10.

$$x=\frac{-14}{10}$$

Reduce the fraction \frac{-14}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{7}{5}$$