Solve 2x + 15 = 33

The solution of 2x + 15 = 33 is x = 9.

2x + 15 = 33\ \Rightarrow\ x = 9

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The lines y = 2x + 15 and y = 33 meet at x = 9. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$2x + 15 = 33$
2
Subtract 15 from both sides:
$2x + 15 - 15 = 33 - 15 \ \Rightarrow\ 2x = 18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$2\cdot9 + 15 = 18 + 15 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 2x + 15 = 33\ \Rightarrow\ x = 9 \]
\[ 2x + 15 = 33 \]
\[ 2x + 15 - 15 = 33 - 15 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 + 15 = 18 + 15 = 33 \checkmark \]

Trying values of x in 2x + 15 = 33

x	2x + 15	Equals 33?
7	29	no
8	31	no
9	33	yes
10	35	no
11	37	no

Questions

What is x in 2x + 15 = 33?

The solution of 2x + 15 = 33 is x = 9.

How do you solve 2x + 15 = 33?

Subtract 15 from both sides to get 2x = 18, then divide both sides by 2 to get x = 9.

How do I check the answer?

Replace x by 9: 2(9) + 15 = 33, which is 33.

Solve 2x + 15 = 33

How to work it out

Trying values of x in 2x + 15 = 33

Questions

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