Solve 7x − 7 = 112

The solution of 7x − 7 = 112 is x = 17.

7x - 7 = 112\ \Rightarrow\ x = 17

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The lines y = 7x − 7 and y = 112 meet at x = 17. 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.
$7x - 7 = 112$
2
Add 7 to both sides:
$7x - 7 + 7 = 112 + 7 \ \Rightarrow\ 7x = 119$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$7\cdot17 - 7 = 119 - 7 = 112 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 7 = 112\ \Rightarrow\ x = 17 \]
\[ 7x - 7 = 112 \]
\[ 7x - 7 + 7 = 112 + 7 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 - 7 = 119 - 7 = 112 \checkmark \]

Trying values of x in 7x − 7 = 112

x	7x − 7	Equals 112?
15	98	no
16	105	no
17	112	yes
18	119	no
19	126	no

Questions

What is x in 7x − 7 = 112?

The solution of 7x − 7 = 112 is x = 17.

How do you solve 7x − 7 = 112?

Add 7 to both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) − 7 = 112, which is 112.

Solve 7x − 7 = 112

How to work it out

Trying values of x in 7x − 7 = 112

Questions

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