Solve 6x − 5 = 7

The solution of 6x − 5 = 7 is x = 2.

6x - 5 = 7\ \Rightarrow\ x = 2

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The lines y = 6x − 5 and y = 7 meet at x = 2. 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.
$6x - 5 = 7$
2
Add 5 to both sides:
$6x - 5 + 5 = 7 + 5 \ \Rightarrow\ 6x = 12$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$6\cdot2 - 5 = 12 - 5 = 7 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 7\ \Rightarrow\ x = 2 \]
\[ 6x - 5 = 7 \]
\[ 6x - 5 + 5 = 7 + 5 \ \Rightarrow\ 6x = 12 \]
\[ \frac{6x}{6} = \frac{12}{6} \ \Rightarrow\ x = 2 \]
\[ 6\cdot2 - 5 = 12 - 5 = 7 \checkmark \]

Trying values of x in 6x − 5 = 7

x	6x − 5	Equals 7?
0	-5	no
1	1	no
2	7	yes
3	13	no
4	19	no

Questions

What is x in 6x − 5 = 7?

The solution of 6x − 5 = 7 is x = 2.

How do you solve 6x − 5 = 7?

Add 5 to both sides to get 6x = 12, then divide both sides by 6 to get x = 2.

How do I check the answer?

Replace x by 2: 6(2) − 5 = 7, which is 7.

Solve 6x − 5 = 7

How to work it out

Trying values of x in 6x − 5 = 7

Questions

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