Solve 4x − 6 = −14

The solution of 4x − 6 = −14 is x = -2.

4x - 6 = -14\ \Rightarrow\ x = -2

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

The lines y = 4x − 6 and y = -14 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.
$4x - 6 = -14$
2
Add 6 to both sides:
$4x - 6 + 6 = -14 + 6 \ \Rightarrow\ 4x = -8$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$4\cdot(-2) - 6 = -8 - 6 = -14 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 6 = -14\ \Rightarrow\ x = -2 \]
\[ 4x - 6 = -14 \]
\[ 4x - 6 + 6 = -14 + 6 \ \Rightarrow\ 4x = -8 \]
\[ \frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2 \]
\[ 4\cdot(-2) - 6 = -8 - 6 = -14 \checkmark \]

Trying values of x in 4x − 6 = −14

x	4x − 6	Equals -14?
-4	-22	no
-3	-18	no
-2	-14	yes
-1	-10	no
0	-6	no

Questions

What is x in 4x − 6 = −14?

The solution of 4x − 6 = −14 is x = -2.

How do you solve 4x − 6 = −14?

Add 6 to both sides to get 4x = -8, then divide both sides by 4 to get x = -2.

How do I check the answer?

Replace x by -2: 4(-2) − 6 = -14, which is -14.

Solve 4x − 6 = −14

How to work it out

Trying values of x in 4x − 6 = −14

Questions

Similar equations