Solve 6(4+x-2/3)-15=0

$$6 ( 4 + \frac { x - 2 } { 3 } ) - 15 = 0$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$18\left(4+\frac{x-2}{3}\right)-45=0$$

Use the distributive property to multiply 18 by 4+\frac{x-2}{3}.

$$72+18\times \frac{x-2}{3}-45=0$$

Cancel out 3, the greatest common factor in 18 and 3.

$$72+6\left(x-2\right)-45=0$$

Use the distributive property to multiply 6 by x-2.

$$72+6x-12-45=0$$

Subtract 12 from 72 to get 60.

$$60+6x-45=0$$

Subtract 45 from 60 to get 15.

$$15+6x=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$6x=-15$$

Divide both sides by 6.

$$x=\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{2}$$