Solve 4(3x-5)+3(4x-7)=10x-13

$$4 ( 3 x - 5 ) + 3 ( 4 x - 7 ) = 10 x - 13$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3x-5.

$$12x-20+3\left(4x-7\right)=10x-13$$

Use the distributive property to multiply 3 by 4x-7.

$$12x-20+12x-21=10x-13$$

Combine 12x and 12x to get 24x.

$$24x-20-21=10x-13$$

Subtract 21 from -20 to get -41.

$$24x-41=10x-13$$

Subtract 10x from both sides.

$$24x-41-10x=-13$$

Combine 24x and -10x to get 14x.

$$14x-41=-13$$

Add 41 to both sides.

$$14x=-13+41$$

Add -13 and 41 to get 28.

$$14x=28$$

Divide both sides by 14.

$$x=\frac{28}{14}$$

Divide 28 by 14 to get 2.

$$x=2$$