Question #6b8b3

2 Answers
Jan 18, 2018

x=9

Explanation:

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

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

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

9x451(10+x)=35

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

9x4510x=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:

9x4510x+45+10=35+45+10
9xx=35+45+10
10x=90

Divide both sides by 10 to get x by itself:

10x10=9010
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

(33x+315)+(110+1x)=35
(9x45)+(101x)=35

Combine terms
9x1x4510=35
10x55=35

Solve
10x55+55=35+55
10x=90

10x10=9010

x=9

Check by substituting into original formula
3(39+15)+1(109)=35
3(27+15)+1(109)=35
3(12)+1(1)=35
+36+1=35
35=35 True