Solve 0.05x+5.2=5.5-3.5x

$$0.05 x + 5.2 = 5.5 - 3.5 x$$

Solve for x

$$x=\frac{6}{71}\approx 0.084507042$$

Steps for Solving Linear Equation

Add 3.5x to both sides.

$$0.05x+5.2+3.5x=5.5$$

Combine 0.05x and 3.5x to get 3.55x.

$$3.55x+5.2=5.5$$

Subtract 5.2 from both sides.

$$3.55x=5.5-5.2$$

Subtract 5.2 from 5.5 to get 0.3.

$$3.55x=0.3$$

Divide both sides by 3.55.

$$x=\frac{0.3}{3.55}$$

Expand \frac{0.3}{3.55} by multiplying both numerator and the denominator by 100.

$$x=\frac{30}{355}$$

Reduce the fraction \frac{30}{355} to lowest terms by extracting and canceling out 5.

$$x=\frac{6}{71}$$