Solve 2x − 5 = −25

The solution of 2x − 5 = −25 is x = -10.

2x - 5 = -25\ \Rightarrow\ x = -10

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The lines y = 2x − 5 and y = -25 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 subtraction, then the multiplication.
$2x - 5 = -25$
2
Add 5 to both sides:
$2x - 5 + 5 = -25 + 5 \ \Rightarrow\ 2x = -20$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$2\cdot(-10) - 5 = -20 - 5 = -25 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 5 = -25\ \Rightarrow\ x = -10 \]
\[ 2x - 5 = -25 \]
\[ 2x - 5 + 5 = -25 + 5 \ \Rightarrow\ 2x = -20 \]
\[ \frac{2x}{2} = \frac{-20}{2} \ \Rightarrow\ x = -10 \]
\[ 2\cdot(-10) - 5 = -20 - 5 = -25 \checkmark \]

Trying values of x in 2x − 5 = −25

x	2x − 5	Equals -25?
-12	-29	no
-11	-27	no
-10	-25	yes
-9	-23	no
-8	-21	no

Questions

What is x in 2x − 5 = −25?

The solution of 2x − 5 = −25 is x = -10.

How do you solve 2x − 5 = −25?

Add 5 to both sides to get 2x = -20, then divide both sides by 2 to get x = -10.

How do I check the answer?

Replace x by -10: 2(-10) − 5 = -25, which is -25.

Solve 2x − 5 = −25

How to work it out

Trying values of x in 2x − 5 = −25

Questions

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