**After doing this page, try the Equations
9 Quiz.**

**RECAP: We have been introduced to
variables in equations. Now let's look at simplifying some equations with addition
and subtraction.**

**Here is a simple one to start. In
this equation we must simplify the equation to find the value of the variable.
The equation is two times x plus four plus three times x plus five equals forty-eight.
**

**First, multiply the two times the x and two times the four in parenthesis.****Then multiply the three times the x and the five in parenthesis.****Then add the two x and the three x together to get five x and add the eight and fifteen to get twenty-three.****Next solve five x plus twenty-three equals forty eight. Subtract or take twenty-three from both sides of the equation. The equation then states five x equals twenty-five. Divide each side by five and the variable x equals 5.****By putting the five into the equation we see that it works. Two times five plus four plus three times five plus five equals forty-eight.**

2x + 8 + 3x + 15 =48

5x + 23 =48

5x = 25

2(9) + 3(10) = 48

18 + 30 = 48

**Here is another example, four times
x minus seven minus three times x plus five equals two times x plus five plus
three times x minus ten. **

4x - 24 - 3x - 15 = 2x + 6 + 2x - 12

x - 39 = 4x - 6

-33 = 3x

-11 = x

4(-11-6) -3(-11 +5) = 2(-11 +3) + 2(-11 -6)

4(-17) -3(-6) = 2(-8) + 2(-17)

-68 +18 = -16 -34

-50=-50

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