Solve 6x − 7 = 17

The solution of 6x − 7 = 17 is x = 4.

6x - 7 = 17\ \Rightarrow\ x = 4

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The lines y = 6x − 7 and y = 17 meet at x = 4. 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.
$6x - 7 = 17$
2
Add 7 to both sides:
$6x - 7 + 7 = 17 + 7 \ \Rightarrow\ 6x = 24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$6\cdot4 - 7 = 24 - 7 = 17 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = 17\ \Rightarrow\ x = 4 \]
\[ 6x - 7 = 17 \]
\[ 6x - 7 + 7 = 17 + 7 \ \Rightarrow\ 6x = 24 \]
\[ \frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4 \]
\[ 6\cdot4 - 7 = 24 - 7 = 17 \checkmark \]

Trying values of x in 6x − 7 = 17

x	6x − 7	Equals 17?
2	5	no
3	11	no
4	17	yes
5	23	no
6	29	no

Questions

What is x in 6x − 7 = 17?

The solution of 6x − 7 = 17 is x = 4.

How do you solve 6x − 7 = 17?

Add 7 to both sides to get 6x = 24, then divide both sides by 6 to get x = 4.

How do I check the answer?

Replace x by 4: 6(4) − 7 = 17, which is 17.

Solve 6x − 7 = 17

How to work it out

Trying values of x in 6x − 7 = 17

Questions

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