Solve 10x − 6 = 4

The solution of 10x − 6 = 4 is x = 1.

10x - 6 = 4\ \Rightarrow\ x = 1

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

The lines y = 10x − 6 and y = 4 meet at x = 1. 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.
$10x - 6 = 4$
2
Add 6 to both sides:
$10x - 6 + 6 = 4 + 6 \ \Rightarrow\ 10x = 10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$10\cdot1 - 6 = 10 - 6 = 4 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 6 = 4\ \Rightarrow\ x = 1 \]
\[ 10x - 6 = 4 \]
\[ 10x - 6 + 6 = 4 + 6 \ \Rightarrow\ 10x = 10 \]
\[ \frac{10x}{10} = \frac{10}{10} \ \Rightarrow\ x = 1 \]
\[ 10\cdot1 - 6 = 10 - 6 = 4 \checkmark \]

Trying values of x in 10x − 6 = 4

x	10x − 6	Equals 4?
-1	-16	no
0	-6	no
1	4	yes
2	14	no
3	24	no

Questions

What is x in 10x − 6 = 4?

The solution of 10x − 6 = 4 is x = 1.

How do you solve 10x − 6 = 4?

Add 6 to both sides to get 10x = 10, then divide both sides by 10 to get x = 1.

How do I check the answer?

Replace x by 1: 10(1) − 6 = 4, which is 4.

Solve 10x − 6 = 4

How to work it out

Trying values of x in 10x − 6 = 4

Questions

Similar equations