Solve x+18/4-4x-3/3=7

$$\frac { x + 18 } { 4 } - \frac { 4 x - 3 } { 3 } = 7$$

Solve for x

$$x = -\frac{18}{13} = -1\frac{5}{13} \approx -1.384615385$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(x+18\right)-4\left(4x-3\right)=84$$

Use the distributive property to multiply 3 by x+18.

$$3x+54-4\left(4x-3\right)=84$$

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

$$3x+54-16x+12=84$$

Combine 3x and -16x to get -13x.

$$-13x+54+12=84$$

Add 54 and 12 to get 66.

$$-13x+66=84$$

Subtract 66 from both sides.

$$-13x=84-66$$

Subtract 66 from 84 to get 18.

$$-13x=18$$

Divide both sides by -13.

$$x=\frac{18}{-13}$$

Fraction \frac{18}{-13} can be rewritten as -\frac{18}{13} by extracting the negative sign.

$$x=-\frac{18}{13}$$