Solve 7(x-1)-(x-5)=10

$$7 ( x - 1 ) - ( x - 5 ) = 10$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-1.

$$7x-7-\left(x-5\right)=10$$

To find the opposite of x-5, find the opposite of each term.

$$7x-7-x-\left(-5\right)=10$$

The opposite of -5 is 5.

$$7x-7-x+5=10$$

Combine 7x and -x to get 6x.

$$6x-7+5=10$$

Add -7 and 5 to get -2.

$$6x-2=10$$

Add 2 to both sides.

$$6x=10+2$$

Add 10 and 2 to get 12.

$$6x=12$$

Divide both sides by 6.

$$x=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$x=2$$