Solve 6x − 1 = −25

The solution of 6x − 1 = −25 is x = -4.

6x - 1 = -25\ \Rightarrow\ x = -4

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

The lines y = 6x − 1 and y = -25 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.
$6x - 1 = -25$
2
Add 1 to both sides:
$6x - 1 + 1 = -25 + 1 \ \Rightarrow\ 6x = -24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$6\cdot(-4) - 1 = -24 - 1 = -25 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = -25\ \Rightarrow\ x = -4 \]
\[ 6x - 1 = -25 \]
\[ 6x - 1 + 1 = -25 + 1 \ \Rightarrow\ 6x = -24 \]
\[ \frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4 \]
\[ 6\cdot(-4) - 1 = -24 - 1 = -25 \checkmark \]

Trying values of x in 6x − 1 = −25

x	6x − 1	Equals -25?
-6	-37	no
-5	-31	no
-4	-25	yes
-3	-19	no
-2	-13	no

Questions

What is x in 6x − 1 = −25?

The solution of 6x − 1 = −25 is x = -4.

How do you solve 6x − 1 = −25?

Add 1 to both sides to get 6x = -24, then divide both sides by 6 to get x = -4.

How do I check the answer?

Replace x by -4: 6(-4) − 1 = -25, which is -25.

Solve 6x − 1 = −25

How to work it out

Trying values of x in 6x − 1 = −25

Questions

Similar equations