Solve 4x − 5 = −5

The solution of 4x − 5 = −5 is x = 0.

4x - 5 = -5\ \Rightarrow\ x = 0

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The lines y = 4x − 5 and y = -5 meet at x = 0. 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.
$4x - 5 = -5$
2
Add 5 to both sides:
$4x - 5 + 5 = -5 + 5 \ \Rightarrow\ 4x = 0$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{0}{4} \ \Rightarrow\ x = 0$
4
Check: put x = 0 back into the equation.
$4\cdot0 - 5 = 0 - 5 = -5 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = -5\ \Rightarrow\ x = 0 \]
\[ 4x - 5 = -5 \]
\[ 4x - 5 + 5 = -5 + 5 \ \Rightarrow\ 4x = 0 \]
\[ \frac{4x}{4} = \frac{0}{4} \ \Rightarrow\ x = 0 \]
\[ 4\cdot0 - 5 = 0 - 5 = -5 \checkmark \]

Trying values of x in 4x − 5 = −5

x	4x − 5	Equals -5?
-2	-13	no
-1	-9	no
0	-5	yes
1	-1	no
2	3	no

Questions

What is x in 4x − 5 = −5?

The solution of 4x − 5 = −5 is x = 0.

How do you solve 4x − 5 = −5?

Add 5 to both sides to get 4x = 0, then divide both sides by 4 to get x = 0.

How do I check the answer?

Replace x by 0: 4(0) − 5 = -5, which is -5.

Solve 4x − 5 = −5

How to work it out

Trying values of x in 4x − 5 = −5

Questions

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