Solve 3(x-1)+2(x-3)=7x-13

$$3 ( x - 1 ) + 2 ( x - 3 ) = 7 x - 13$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3x-3+2\left(x-3\right)=7x-13$$

Use the distributive property to multiply 2 by x-3.

$$3x-3+2x-6=7x-13$$

Combine 3x and 2x to get 5x.

$$5x-3-6=7x-13$$

Subtract 6 from -3 to get -9.

$$5x-9=7x-13$$

Subtract 7x from both sides.

$$5x-9-7x=-13$$

Combine 5x and -7x to get -2x.

$$-2x-9=-13$$

Add 9 to both sides.

$$-2x=-13+9$$

Add -13 and 9 to get -4.

$$-2x=-4$$

Divide both sides by -2.

$$x=\frac{-4}{-2}$$

Divide -4 by -2 to get 2.

$$x=2$$