Solve 0.15=0.9+1.5(x-0.9)

$$0.15=0.9+1.5(x-0.9)$$

Solve for x

$$x=0.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.5 by x-0.9.

$$0.15=0.9+1.5x-1.35$$

Subtract 1.35 from 0.9 to get -0.45.

$$0.15=-0.45+1.5x$$

Swap sides so that all variable terms are on the left hand side.

$$-0.45+1.5x=0.15$$

Add 0.45 to both sides.

$$1.5x=0.15+0.45$$

Add 0.15 and 0.45 to get 0.6.

$$1.5x=0.6$$

Divide both sides by 1.5.

$$x=\frac{0.6}{1.5}$$

Expand \frac{0.6}{1.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{6}{15}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{2}{5}$$