Solve 6x − 1 = 35

The solution of 6x − 1 = 35 is x = 6.

6x - 1 = 35\ \Rightarrow\ x = 6

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The lines y = 6x − 1 and y = 35 meet at x = 6. 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.
$6x - 1 = 35$
2
Add 1 to both sides:
$6x - 1 + 1 = 35 + 1 \ \Rightarrow\ 6x = 36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$6\cdot6 - 1 = 36 - 1 = 35 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = 35\ \Rightarrow\ x = 6 \]
\[ 6x - 1 = 35 \]
\[ 6x - 1 + 1 = 35 + 1 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 - 1 = 36 - 1 = 35 \checkmark \]

Trying values of x in 6x − 1 = 35

x	6x − 1	Equals 35?
4	23	no
5	29	no
6	35	yes
7	41	no
8	47	no

Questions

What is x in 6x − 1 = 35?

The solution of 6x − 1 = 35 is x = 6.

How do you solve 6x − 1 = 35?

Add 1 to both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) − 1 = 35, which is 35.

Solve 6x − 1 = 35

How to work it out

Trying values of x in 6x − 1 = 35

Questions

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