Solve 3(x+1)+10=5x+3(x-9)

$$3(x+1)+10=5x+3(x-9)$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$3x+3+10=5x+3\left(x-9\right)$$

Add 3 and 10 to get 13.

$$3x+13=5x+3\left(x-9\right)$$

Use the distributive property to multiply 3 by x-9.

$$3x+13=5x+3x-27$$

Combine 5x and 3x to get 8x.

$$3x+13=8x-27$$

Subtract 8x from both sides.

$$3x+13-8x=-27$$

Combine 3x and -8x to get -5x.

$$-5x+13=-27$$

Subtract 13 from both sides.

$$-5x=-27-13$$

Subtract 13 from -27 to get -40.

$$-5x=-40$$

Divide both sides by -5.

$$x=\frac{-40}{-5}$$

Divide -40 by -5 to get 8.

$$x=8$$