Solve 10+5(x-3)=3(x+1)

$$10 + 5 ( x - 3 ) = 3 ( x + 1 )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$10+5x-15=3\left(x+1\right)$$

Subtract 15 from 10 to get -5.

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

Use the distributive property to multiply 3 by x+1.

$$-5+5x=3x+3$$

Subtract 3x from both sides.

$$-5+5x-3x=3$$

Combine 5x and -3x to get 2x.

$$-5+2x=3$$

Add 5 to both sides.

$$2x=3+5$$

Add 3 and 5 to get 8.

$$2x=8$$

Divide both sides by 2.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$