Solve 0.06x+0.09(15-x)=0.07(15)

$$0.06 x + 0.09 ( 15 - x ) = 0.07 ( 15 )$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.09 by 15-x.

$$0.06x+1.35-0.09x=0.07\times 15$$

Combine 0.06x and -0.09x to get -0.03x.

$$-0.03x+1.35=0.07\times 15$$

Multiply 0.07 and 15 to get 1.05.

$$-0.03x+1.35=1.05$$

Subtract 1.35 from both sides.

$$-0.03x=1.05-1.35$$

Subtract 1.35 from 1.05 to get -0.3.

$$-0.03x=-0.3$$

Divide both sides by -0.03.

$$x=\frac{-0.3}{-0.03}$$

Expand \frac{-0.3}{-0.03} by multiplying both numerator and the denominator by 100.

$$x=\frac{-30}{-3}$$

Divide -30 by -3 to get 10.

$$x=10$$