Solve 0.05(x+60)-0.04(x-10)=3.3

$$0.05 ( x + 60 ) - 0.04 ( x - 10 ) = 3.3$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.05 by x+60.

$$0.05x+3-0.04\left(x-10\right)=3.3$$

Use the distributive property to multiply -0.04 by x-10.

$$0.05x+3-0.04x+0.4=3.3$$

Combine 0.05x and -0.04x to get 0.01x.

$$0.01x+3+0.4=3.3$$

Add 3 and 0.4 to get 3.4.

$$0.01x+3.4=3.3$$

Subtract 3.4 from both sides.

$$0.01x=3.3-3.4$$

Subtract 3.4 from 3.3 to get -0.1.

$$0.01x=-0.1$$

Divide both sides by 0.01.

$$x=\frac{-0.1}{0.01}$$

Expand \frac{-0.1}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.

$$x=-10$$