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

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

Solve for x

$$x=18$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+3 by 5.

$$5x+15=\left(x-3\right)\times 7$$

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

$$5x+15=7x-21$$

Subtract 7x from both sides.

$$5x+15-7x=-21$$

Combine 5x and -7x to get -2x.

$$-2x+15=-21$$

Subtract 15 from both sides.

$$-2x=-21-15$$

Subtract 15 from -21 to get -36.

$$-2x=-36$$

Divide both sides by -2.

$$x=\frac{-36}{-2}$$

Divide -36 by -2 to get 18.

$$x=18$$