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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+5.

$$2x+10-3\left(x-1\right)=x+3$$

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

$$2x+10-3x+3=x+3$$

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

$$-x+10+3=x+3$$

Add 10 and 3 to get 13.

$$-x+13=x+3$$

Subtract x from both sides.

$$-x+13-x=3$$

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

$$-2x+13=3$$

Subtract 13 from both sides.

$$-2x=3-13$$

Subtract 13 from 3 to get -10.

$$-2x=-10$$

Divide both sides by -2.

$$x=\frac{-10}{-2}$$

Divide -10 by -2 to get 5.

$$x=5$$