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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-1.

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

Add -5 and 7 to get 2.

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

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

$$5x+2=3x+3+1$$

Add 3 and 1 to get 4.

$$5x+2=3x+4$$

Subtract 3x from both sides.

$$5x+2-3x=4$$

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

$$2x+2=4$$

Subtract 2 from both sides.

$$2x=4-2$$

Subtract 2 from 4 to get 2.

$$2x=2$$

Divide both sides by 2.

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

Divide 2 by 2 to get 1.

$$x=1$$