Solve 7x + 1 = 15

The solution of 7x + 1 = 15 is x = 2.

7x + 1 = 15\ \Rightarrow\ x = 2

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The lines y = 7x + 1 and y = 15 meet at x = 2. 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.
$7x + 1 = 15$
2
Subtract 1 from both sides:
$7x + 1 - 1 = 15 - 1 \ \Rightarrow\ 7x = 14$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$7\cdot2 + 1 = 14 + 1 = 15 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 1 = 15\ \Rightarrow\ x = 2 \]
\[ 7x + 1 = 15 \]
\[ 7x + 1 - 1 = 15 - 1 \ \Rightarrow\ 7x = 14 \]
\[ \frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2 \]
\[ 7\cdot2 + 1 = 14 + 1 = 15 \checkmark \]

Trying values of x in 7x + 1 = 15

x	7x + 1	Equals 15?
0	1	no
1	8	no
2	15	yes
3	22	no
4	29	no

Questions

What is x in 7x + 1 = 15?

The solution of 7x + 1 = 15 is x = 2.

How do you solve 7x + 1 = 15?

Subtract 1 from both sides to get 7x = 14, then divide both sides by 7 to get x = 2.

How do I check the answer?

Replace x by 2: 7(2) + 1 = 15, which is 15.

Solve 7x + 1 = 15

How to work it out

Trying values of x in 7x + 1 = 15

Questions

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