Solve (3x-7)/9+18+6x/4=2

$$\frac { ( 3 x - 7 ) } { 9 } + \frac { 18 + 6 x } { 4 } = 2$$

Solve for x

$$x=-\frac{31}{33}\approx -0.939393939$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 9,4.

$$4\left(3x-7\right)+9\left(18+6x\right)=72$$

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

$$12x-28+9\left(18+6x\right)=72$$

Use the distributive property to multiply 9 by 18+6x.

$$12x-28+162+54x=72$$

Add -28 and 162 to get 134.

$$12x+134+54x=72$$

Combine 12x and 54x to get 66x.

$$66x+134=72$$

Subtract 134 from both sides.

$$66x=72-134$$

Subtract 134 from 72 to get -62.

$$66x=-62$$

Divide both sides by 66.

$$x=\frac{-62}{66}$$

Reduce the fraction \frac{-62}{66} to lowest terms by extracting and canceling out 2.

$$x=-\frac{31}{33}$$