Solve 2.1x+1.6+5.2x=3.5x+2.4

$$2.1x+1.6+5.2x=3.5x+2.4$$

Solve for x

$$x=\frac{4}{19}\approx 0.210526316$$

Steps for Solving Linear Equation

Combine 2.1x and 5.2x to get 7.3x.

$$7.3x+1.6=3.5x+2.4$$

Subtract 3.5x from both sides.

$$7.3x+1.6-3.5x=2.4$$

Combine 7.3x and -3.5x to get 3.8x.

$$3.8x+1.6=2.4$$

Subtract 1.6 from both sides.

$$3.8x=2.4-1.6$$

Subtract 1.6 from 2.4 to get 0.8.

$$3.8x=0.8$$

Divide both sides by 3.8.

$$x=\frac{0.8}{3.8}$$

Expand \frac{0.8}{3.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{8}{38}$$

Reduce the fraction \frac{8}{38} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{19}$$