Solve 6(4x-7)-5(2x-5)=3

$$6 ( 4 x - 7 ) - 5 ( 2 x - 5 ) = 3$$

Solve for x

$$x = \frac{10}{7} = 1\frac{3}{7} \approx 1.428571429$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 4x-7.

$$24x-42-5\left(2x-5\right)=3$$

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

$$24x-42-10x+25=3$$

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

$$14x-42+25=3$$

Add -42 and 25 to get -17.

$$14x-17=3$$

Add 17 to both sides.

$$14x=3+17$$

Add 3 and 17 to get 20.

$$14x=20$$

Divide both sides by 14.

$$x=\frac{20}{14}$$

Reduce the fraction \frac{20}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{10}{7}$$