Solve 2(3x-5)-4(x-2)=13-x

$$2 ( 3 x - 5 ) - 4 ( x - 2 ) = 13 - x$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-5.

$$6x-10-4\left(x-2\right)=13-x$$

Use the distributive property to multiply -4 by x-2.

$$6x-10-4x+8=13-x$$

Combine 6x and -4x to get 2x.

$$2x-10+8=13-x$$

Add -10 and 8 to get -2.

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

Add x to both sides.

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

Combine 2x and x to get 3x.

$$3x-2=13$$

Add 2 to both sides.

$$3x=13+2$$

Add 13 and 2 to get 15.

$$3x=15$$

Divide both sides by 3.

$$x=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x=5$$