Solve 7x − 2 = 124

The solution of 7x − 2 = 124 is x = 18.

7x - 2 = 124\ \Rightarrow\ x = 18

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The lines y = 7x − 2 and y = 124 meet at x = 18. 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.
$7x - 2 = 124$
2
Add 2 to both sides:
$7x - 2 + 2 = 124 + 2 \ \Rightarrow\ 7x = 126$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$7\cdot18 - 2 = 126 - 2 = 124 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 2 = 124\ \Rightarrow\ x = 18 \]
\[ 7x - 2 = 124 \]
\[ 7x - 2 + 2 = 124 + 2 \ \Rightarrow\ 7x = 126 \]
\[ \frac{7x}{7} = \frac{126}{7} \ \Rightarrow\ x = 18 \]
\[ 7\cdot18 - 2 = 126 - 2 = 124 \checkmark \]

Trying values of x in 7x − 2 = 124

x	7x − 2	Equals 124?
16	110	no
17	117	no
18	124	yes
19	131	no
20	138	no

Questions

What is x in 7x − 2 = 124?

The solution of 7x − 2 = 124 is x = 18.

How do you solve 7x − 2 = 124?

Add 2 to both sides to get 7x = 126, then divide both sides by 7 to get x = 18.

How do I check the answer?

Replace x by 18: 7(18) − 2 = 124, which is 124.

Solve 7x − 2 = 124

How to work it out

Trying values of x in 7x − 2 = 124

Questions

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