Solve 4x + 14 = −26

The solution of 4x + 14 = −26 is x = -10.

4x + 14 = -26\ \Rightarrow\ x = -10

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

The lines y = 4x + 14 and y = -26 meet at x = -10. 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 addition, then the multiplication.
$4x + 14 = -26$
2
Subtract 14 from both sides:
$4x + 14 - 14 = -26 - 14 \ \Rightarrow\ 4x = -40$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-40}{4} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$4\cdot(-10) + 14 = -40 + 14 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 14 = -26\ \Rightarrow\ x = -10 \]
\[ 4x + 14 = -26 \]
\[ 4x + 14 - 14 = -26 - 14 \ \Rightarrow\ 4x = -40 \]
\[ \frac{4x}{4} = \frac{-40}{4} \ \Rightarrow\ x = -10 \]
\[ 4\cdot(-10) + 14 = -40 + 14 = -26 \checkmark \]

Trying values of x in 4x + 14 = −26

x	4x + 14	Equals -26?
-12	-34	no
-11	-30	no
-10	-26	yes
-9	-22	no
-8	-18	no

Questions

What is x in 4x + 14 = −26?

The solution of 4x + 14 = −26 is x = -10.

How do you solve 4x + 14 = −26?

Subtract 14 from both sides to get 4x = -40, then divide both sides by 4 to get x = -10.

How do I check the answer?

Replace x by -10: 4(-10) + 14 = -26, which is -26.

Solve 4x + 14 = −26

How to work it out

Trying values of x in 4x + 14 = −26

Questions

Similar equations