Solve 7x + 15 = 113

The solution of 7x + 15 = 113 is x = 14.

7x + 15 = 113\ \Rightarrow\ x = 14

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The lines y = 7x + 15 and y = 113 meet at x = 14. 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.
$7x + 15 = 113$
2
Subtract 15 from both sides:
$7x + 15 - 15 = 113 - 15 \ \Rightarrow\ 7x = 98$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$7\cdot14 + 15 = 98 + 15 = 113 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 15 = 113\ \Rightarrow\ x = 14 \]
\[ 7x + 15 = 113 \]
\[ 7x + 15 - 15 = 113 - 15 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 15 = 98 + 15 = 113 \checkmark \]

Trying values of x in 7x + 15 = 113

x	7x + 15	Equals 113?
12	99	no
13	106	no
14	113	yes
15	120	no
16	127	no

Questions

What is x in 7x + 15 = 113?

The solution of 7x + 15 = 113 is x = 14.

How do you solve 7x + 15 = 113?

Subtract 15 from both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) + 15 = 113, which is 113.

Solve 7x + 15 = 113

How to work it out

Trying values of x in 7x + 15 = 113

Questions

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