Solve 7x − 10 = 102

The solution of 7x − 10 = 102 is x = 16.

7x - 10 = 102\ \Rightarrow\ x = 16

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The lines y = 7x − 10 and y = 102 meet at x = 16. 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 subtraction, then the multiplication.
$7x - 10 = 102$
2
Add 10 to both sides:
$7x - 10 + 10 = 102 + 10 \ \Rightarrow\ 7x = 112$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$7\cdot16 - 10 = 112 - 10 = 102 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = 102\ \Rightarrow\ x = 16 \]
\[ 7x - 10 = 102 \]
\[ 7x - 10 + 10 = 102 + 10 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 - 10 = 112 - 10 = 102 \checkmark \]

Trying values of x in 7x − 10 = 102

x	7x − 10	Equals 102?
14	88	no
15	95	no
16	102	yes
17	109	no
18	116	no

Questions

What is x in 7x − 10 = 102?

The solution of 7x − 10 = 102 is x = 16.

How do you solve 7x − 10 = 102?

Add 10 to both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) − 10 = 102, which is 102.

Solve 7x − 10 = 102

How to work it out

Trying values of x in 7x − 10 = 102

Questions

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