Solve 6x − 5 = 43

The solution of 6x − 5 = 43 is x = 8.

6x - 5 = 43\ \Rightarrow\ x = 8

Explain it step by step in chat Make a short video of it

The lines y = 6x − 5 and y = 43 meet at x = 8. 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.
$6x - 5 = 43$
2
Add 5 to both sides:
$6x - 5 + 5 = 43 + 5 \ \Rightarrow\ 6x = 48$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$6\cdot8 - 5 = 48 - 5 = 43 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 5 = 43\ \Rightarrow\ x = 8 \]
\[ 6x - 5 = 43 \]
\[ 6x - 5 + 5 = 43 + 5 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 - 5 = 48 - 5 = 43 \checkmark \]

Trying values of x in 6x − 5 = 43

x	6x − 5	Equals 43?
6	31	no
7	37	no
8	43	yes
9	49	no
10	55	no

Questions

What is x in 6x − 5 = 43?

The solution of 6x − 5 = 43 is x = 8.

How do you solve 6x − 5 = 43?

Add 5 to both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) − 5 = 43, which is 43.

Solve 6x − 5 = 43

How to work it out

Trying values of x in 6x − 5 = 43

Questions

Similar equations