Solve 6x − 5 = 37

The solution of 6x − 5 = 37 is x = 7.

6x - 5 = 37\ \Rightarrow\ x = 7

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The lines y = 6x − 5 and y = 37 meet at x = 7. 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.
$6x - 5 = 37$
2
Add 5 to both sides:
$6x - 5 + 5 = 37 + 5 \ \Rightarrow\ 6x = 42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$6\cdot7 - 5 = 42 - 5 = 37 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 37\ \Rightarrow\ x = 7 \]
\[ 6x - 5 = 37 \]
\[ 6x - 5 + 5 = 37 + 5 \ \Rightarrow\ 6x = 42 \]
\[ \frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7 \]
\[ 6\cdot7 - 5 = 42 - 5 = 37 \checkmark \]

Trying values of x in 6x − 5 = 37

x	6x − 5	Equals 37?
5	25	no
6	31	no
7	37	yes
8	43	no
9	49	no

Questions

What is x in 6x − 5 = 37?

The solution of 6x − 5 = 37 is x = 7.

How do you solve 6x − 5 = 37?

Add 5 to both sides to get 6x = 42, then divide both sides by 6 to get x = 7.

How do I check the answer?

Replace x by 7: 6(7) − 5 = 37, which is 37.

Solve 6x − 5 = 37

How to work it out

Trying values of x in 6x − 5 = 37

Questions

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