Solve 4x − 5 = −21

The solution of 4x − 5 = −21 is x = -4.

4x - 5 = -21\ \Rightarrow\ x = -4

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The lines y = 4x − 5 and y = -21 meet at x = -4. 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.
$4x - 5 = -21$
2
Add 5 to both sides:
$4x - 5 + 5 = -21 + 5 \ \Rightarrow\ 4x = -16$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-16}{4} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$4\cdot(-4) - 5 = -16 - 5 = -21 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = -21\ \Rightarrow\ x = -4 \]
\[ 4x - 5 = -21 \]
\[ 4x - 5 + 5 = -21 + 5 \ \Rightarrow\ 4x = -16 \]
\[ \frac{4x}{4} = \frac{-16}{4} \ \Rightarrow\ x = -4 \]
\[ 4\cdot(-4) - 5 = -16 - 5 = -21 \checkmark \]

Trying values of x in 4x − 5 = −21

x	4x − 5	Equals -21?
-6	-29	no
-5	-25	no
-4	-21	yes
-3	-17	no
-2	-13	no

Questions

What is x in 4x − 5 = −21?

The solution of 4x − 5 = −21 is x = -4.

How do you solve 4x − 5 = −21?

Add 5 to both sides to get 4x = -16, then divide both sides by 4 to get x = -4.

How do I check the answer?

Replace x by -4: 4(-4) − 5 = -21, which is -21.

Solve 4x − 5 = −21

How to work it out

Trying values of x in 4x − 5 = −21

Questions

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