Solve 31/2-2/3x=5.4+0.2

$$3 \frac{ 1 }{ 2 } - \frac{ 2 }{ 3 } x = 5.4+0.2$$

Solve for x

$$x=-3.15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3\times 2+1\right)-4x=32.4+1.2$$

Multiply 3 and 2 to get 6.

$$3\left(6+1\right)-4x=32.4+1.2$$

Add 6 and 1 to get 7.

$$3\times 7-4x=32.4+1.2$$

Multiply 3 and 7 to get 21.

$$21-4x=32.4+1.2$$

Add 32.4 and 1.2 to get 33.6.

$$21-4x=33.6$$

Subtract 21 from both sides.

$$-4x=33.6-21$$

Subtract 21 from 33.6 to get 12.6.

$$-4x=12.6$$

Divide both sides by -4.

$$x=\frac{12.6}{-4}$$

Expand \frac{12.6}{-4} by multiplying both numerator and the denominator by 10.

$$x=\frac{126}{-40}$$

Reduce the fraction \frac{126}{-40} to lowest terms by extracting and canceling out 2.

$$x=-\frac{63}{20}$$