Solve 6(4x-7)-3(5-8x)=0

$$6(4x-7)-3(5-8x)=0$$

Solve for x

$$x = \frac{19}{16} = 1\frac{3}{16} = 1.1875$$

Steps for Solving Linear Equation

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

$$24x-42-3\left(5-8x\right)=0$$

Use the distributive property to multiply -3 by 5-8x.

$$24x-42-15+24x=0$$

Subtract 15 from -42 to get -57.

$$24x-57+24x=0$$

Combine 24x and 24x to get 48x.

$$48x-57=0$$

Add 57 to both sides. Anything plus zero gives itself.

$$48x=57$$

Divide both sides by 48.

$$x=\frac{57}{48}$$

Reduce the fraction \frac{57}{48} to lowest terms by extracting and canceling out 3.

$$x=\frac{19}{16}$$