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

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

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-3.

$$5x-15-\left(x-1\right)=x+3-10$$

To find the opposite of x-1, find the opposite of each term.

$$5x-15-x-\left(-1\right)=x+3-10$$

The opposite of -1 is 1.

$$5x-15-x+1=x+3-10$$

Combine 5x and -x to get 4x.

$$4x-15+1=x+3-10$$

Add -15 and 1 to get -14.

$$4x-14=x+3-10$$

Subtract 10 from 3 to get -7.

$$4x-14=x-7$$

Subtract x from both sides.

$$4x-14-x=-7$$

Combine 4x and -x to get 3x.

$$3x-14=-7$$

Add 14 to both sides.

$$3x=-7+14$$

Add -7 and 14 to get 7.

$$3x=7$$

Divide both sides by 3.

$$x=\frac{7}{3}$$