Solve 3.8x-(1.6-1.2x)=9.6+(3.7-5x)

$$3.8x-(1.6-1.2x)=9.6+(3.7-5x)$$

Solve for x

$$x=1.49$$

Steps for Solving Linear Equation

To find the opposite of 1.6-1.2x, find the opposite of each term.

$$3.8x-1.6-\left(-1.2x\right)=9.6+3.7-5x$$

The opposite of -1.2x is 1.2x.

$$3.8x-1.6+1.2x=9.6+3.7-5x$$

Combine 3.8x and 1.2x to get 5x.

$$5x-1.6=9.6+3.7-5x$$

Add 9.6 and 3.7 to get 13.3.

$$5x-1.6=13.3-5x$$

Add 5x to both sides.

$$5x-1.6+5x=13.3$$

Combine 5x and 5x to get 10x.

$$10x-1.6=13.3$$

Add 1.6 to both sides.

$$10x=13.3+1.6$$

Add 13.3 and 1.6 to get 14.9.

$$10x=14.9$$

Divide both sides by 10.

$$x=\frac{14.9}{10}$$

Expand \frac{14.9}{10} by multiplying both numerator and the denominator by 10.

$$x=\frac{149}{100}$$