Solve 6x − 7 = 23

The solution of 6x − 7 = 23 is x = 5.

6x - 7 = 23\ \Rightarrow\ x = 5

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The lines y = 6x − 7 and y = 23 meet at x = 5. 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.
$6x - 7 = 23$
2
Add 7 to both sides:
$6x - 7 + 7 = 23 + 7 \ \Rightarrow\ 6x = 30$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$6\cdot5 - 7 = 30 - 7 = 23 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = 23\ \Rightarrow\ x = 5 \]
\[ 6x - 7 = 23 \]
\[ 6x - 7 + 7 = 23 + 7 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 - 7 = 30 - 7 = 23 \checkmark \]

Trying values of x in 6x − 7 = 23

x	6x − 7	Equals 23?
3	11	no
4	17	no
5	23	yes
6	29	no
7	35	no

Questions

What is x in 6x − 7 = 23?

The solution of 6x − 7 = 23 is x = 5.

How do you solve 6x − 7 = 23?

Add 7 to both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) − 7 = 23, which is 23.

Solve 6x − 7 = 23

How to work it out

Trying values of x in 6x − 7 = 23

Questions

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