Solve 5x − 4 = 6

The solution of 5x − 4 = 6 is x = 2.

5x - 4 = 6\ \Rightarrow\ x = 2

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The lines y = 5x − 4 and y = 6 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.
$5x - 4 = 6$
2
Add 4 to both sides:
$5x - 4 + 4 = 6 + 4 \ \Rightarrow\ 5x = 10$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$5\cdot2 - 4 = 10 - 4 = 6 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 4 = 6\ \Rightarrow\ x = 2 \]
\[ 5x - 4 = 6 \]
\[ 5x - 4 + 4 = 6 + 4 \ \Rightarrow\ 5x = 10 \]
\[ \frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2 \]
\[ 5\cdot2 - 4 = 10 - 4 = 6 \checkmark \]

Trying values of x in 5x − 4 = 6

x	5x − 4	Equals 6?
0	-4	no
1	1	no
2	6	yes
3	11	no
4	16	no

Questions

What is x in 5x − 4 = 6?

The solution of 5x − 4 = 6 is x = 2.

How do you solve 5x − 4 = 6?

Add 4 to both sides to get 5x = 10, then divide both sides by 5 to get x = 2.

How do I check the answer?

Replace x by 2: 5(2) − 4 = 6, which is 6.

Solve 5x − 4 = 6

How to work it out

Trying values of x in 5x − 4 = 6

Questions

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