Solve 4x − 6 = −2

The solution of 4x − 6 = −2 is x = 1.

4x - 6 = -2\ \Rightarrow\ x = 1

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

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

LaTeX source of the formulas on this page

\[ 4x - 6 = -2\ \Rightarrow\ x = 1 \]
\[ 4x - 6 = -2 \]
\[ 4x - 6 + 6 = -2 + 6 \ \Rightarrow\ 4x = 4 \]
\[ \frac{4x}{4} = \frac{4}{4} \ \Rightarrow\ x = 1 \]
\[ 4\cdot1 - 6 = 4 - 6 = -2 \checkmark \]

Trying values of x in 4x − 6 = −2

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

Questions

What is x in 4x − 6 = −2?

The solution of 4x − 6 = −2 is x = 1.

How do you solve 4x − 6 = −2?

Add 6 to both sides to get 4x = 4, then divide both sides by 4 to get x = 1.

How do I check the answer?

Replace x by 1: 4(1) − 6 = -2, which is -2.

Solve 4x − 6 = −2

How to work it out

Trying values of x in 4x − 6 = −2

Questions

Similar equations