Solve 4(x-1)-(x-5)=10

$$4 ( x - 1 ) - ( x - 5 ) = 10$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-1.

$$4x-4-\left(x-5\right)=10$$

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

$$4x-4-x-\left(-5\right)=10$$

The opposite of -5 is 5.

$$4x-4-x+5=10$$

Combine 4x and -x to get 3x.

$$3x-4+5=10$$

Add -4 and 5 to get 1.

$$3x+1=10$$

Subtract 1 from both sides.

$$3x=10-1$$

Subtract 1 from 10 to get 9.

$$3x=9$$

Divide both sides by 3.

$$x=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x=3$$