Solve 7x + 15 = 22

The solution of 7x + 15 = 22 is x = 1.

7x + 15 = 22\ \Rightarrow\ x = 1

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The lines y = 7x + 15 and y = 22 meet at x = 1. 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.
$7x + 15 = 22$
2
Subtract 15 from both sides:
$7x + 15 - 15 = 22 - 15 \ \Rightarrow\ 7x = 7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$7\cdot1 + 15 = 7 + 15 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 15 = 22\ \Rightarrow\ x = 1 \]
\[ 7x + 15 = 22 \]
\[ 7x + 15 - 15 = 22 - 15 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 15 = 7 + 15 = 22 \checkmark \]

Trying values of x in 7x + 15 = 22

x	7x + 15	Equals 22?
-1	8	no
0	15	no
1	22	yes
2	29	no
3	36	no

Questions

What is x in 7x + 15 = 22?

The solution of 7x + 15 = 22 is x = 1.

How do you solve 7x + 15 = 22?

Subtract 15 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 15 = 22, which is 22.

Solve 7x + 15 = 22

How to work it out

Trying values of x in 7x + 15 = 22

Questions

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