Solve .35(60)+.05x=.15(60+x)

$$.35(60)+.05x=.15(60+x)$$

Solve for x

$$x=120$$

Steps for Solving Linear Equation

Multiply 0.35 and 60 to get 21.

$$21+0.05x=0.15\left(60+x\right)$$

Use the distributive property to multiply 0.15 by 60+x.

$$21+0.05x=9+0.15x$$

Subtract 0.15x from both sides.

$$21+0.05x-0.15x=9$$

Combine 0.05x and -0.15x to get -0.1x.

$$21-0.1x=9$$

Subtract 21 from both sides.

$$-0.1x=9-21$$

Subtract 21 from 9 to get -12.

$$-0.1x=-12$$

Divide both sides by -0.1.

$$x=\frac{-12}{-0.1}$$

Expand \frac{-12}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{-120}{-1}$$

Fraction \frac{-120}{-1} can be simplified to 120 by removing the negative sign from both the numerator and the denominator.

$$x=120$$