Question #6b8b3

2 Answers
Jan 18, 2018

x = -9

Explanation:

The equation can be rewritten with a -1 in front of the (10-x) instead of just having a negative sign:

-3(3x+15)-1(10+X)=35

First, distribute the -3 to the numbers in the parentheses:

-9x-45-1(10+x)=35

Then, distribute the -1 to the numbers in the parentheses:

-9x-45-10-x=35

Now you need to isolate all x terms on one side so you can eventually solve for it - to do this, add 45 and 10 to both sides of the equation:

-9x-45-10-x +45 +10=35 +45 +10
-9x-x=35 +45 +10
-10x = 90

Divide both sides by -10 to get x by itself:

(-10x)/-10 = 90/(-10)
x = -9

So, x = -9.

Jan 18, 2018

x=-9

Explanation:

Order of operations is BEDMAS (or PEMDAS)

-3*(3x+15) + -1*(10 +x) =35
Multiply each bracket

(-3*3x + -3*15) + (-1*10 + -1*x) =35
(-9x-45) + (-10-1x)=35

Combine terms
-9x-1x -45-10=35
-10x-55=35

Solve
-10x-55+55=35+55
-10x=90

(-10x)/-10=90/-10

x=-9

Check by substituting into original formula
-3(3*-9+15)+ -1(10-9)=35
-3(-27+15)+ -1(10-9)=35
-3(-12)+ -1(1)=35
+36+ -1=35
35=35 True