Solve 1-3-4x/5+2/3x=3/2

$$1 - \frac { 3 - 4 x } { 5 } + \frac { 2 } { 3 } x = \frac { 3 } { 2 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,3,2.

$$30-6\left(3-4x\right)+20x=45$$

Use the distributive property to multiply -6 by 3-4x.

$$30-18+24x+20x=45$$

Subtract 18 from 30 to get 12.

$$12+24x+20x=45$$

Combine 24x and 20x to get 44x.

$$12+44x=45$$

Subtract 12 from both sides.

$$44x=45-12$$

Subtract 12 from 45 to get 33.

$$44x=33$$

Divide both sides by 44.

$$x=\frac{33}{44}$$

Reduce the fraction \frac{33}{44} to lowest terms by extracting and canceling out 11.

$$x=\frac{3}{4}$$