Solve 7x + 12 = 47

The solution of 7x + 12 = 47 is x = 5.

7x + 12 = 47\ \Rightarrow\ x = 5

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The lines y = 7x + 12 and y = 47 meet at x = 5. 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.
$7x + 12 = 47$
2
Subtract 12 from both sides:
$7x + 12 - 12 = 47 - 12 \ \Rightarrow\ 7x = 35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$7\cdot5 + 12 = 35 + 12 = 47 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 12 = 47\ \Rightarrow\ x = 5 \]
\[ 7x + 12 = 47 \]
\[ 7x + 12 - 12 = 47 - 12 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 + 12 = 35 + 12 = 47 \checkmark \]

Trying values of x in 7x + 12 = 47

x	7x + 12	Equals 47?
3	33	no
4	40	no
5	47	yes
6	54	no
7	61	no

Questions

What is x in 7x + 12 = 47?

The solution of 7x + 12 = 47 is x = 5.

How do you solve 7x + 12 = 47?

Subtract 12 from both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) + 12 = 47, which is 47.

Solve 7x + 12 = 47

How to work it out

Trying values of x in 7x + 12 = 47

Questions

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