Solve 3x + 7 = 37

The solution of 3x + 7 = 37 is x = 10.

3x + 7 = 37\ \Rightarrow\ x = 10

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The lines y = 3x + 7 and y = 37 meet at x = 10. 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.
$3x + 7 = 37$
2
Subtract 7 from both sides:
$3x + 7 - 7 = 37 - 7 \ \Rightarrow\ 3x = 30$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$3\cdot10 + 7 = 30 + 7 = 37 \checkmark$

LaTeX source of the formulas on this page

\[ 3x + 7 = 37\ \Rightarrow\ x = 10 \]
\[ 3x + 7 = 37 \]
\[ 3x + 7 - 7 = 37 - 7 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 + 7 = 30 + 7 = 37 \checkmark \]

Trying values of x in 3x + 7 = 37

x	3x + 7	Equals 37?
8	31	no
9	34	no
10	37	yes
11	40	no
12	43	no

Questions

What is x in 3x + 7 = 37?

The solution of 3x + 7 = 37 is x = 10.

How do you solve 3x + 7 = 37?

Subtract 7 from both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) + 7 = 37, which is 37.

Solve 3x + 7 = 37

How to work it out

Trying values of x in 3x + 7 = 37

Questions

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