Solve 5(x-3)+2(x+1)=3(x-7)

$$5 ( x - 3 ) + 2 ( x + 1 ) = 3 ( x - 7 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$5x-15+2\left(x+1\right)=3\left(x-7\right)$$

Use the distributive property to multiply 2 by x+1.

$$5x-15+2x+2=3\left(x-7\right)$$

Combine 5x and 2x to get 7x.

$$7x-15+2=3\left(x-7\right)$$

Add -15 and 2 to get -13.

$$7x-13=3\left(x-7\right)$$

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

$$7x-13=3x-21$$

Subtract 3x from both sides.

$$7x-13-3x=-21$$

Combine 7x and -3x to get 4x.

$$4x-13=-21$$

Add 13 to both sides.

$$4x=-21+13$$

Add -21 and 13 to get -8.

$$4x=-8$$

Divide both sides by 4.

$$x=\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$x=-2$$