Solve 10x − 5 = −65

The solution of 10x − 5 = −65 is x = -6.

10x - 5 = -65\ \Rightarrow\ x = -6

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The lines y = 10x − 5 and y = -65 meet at x = -6. 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.
$10x - 5 = -65$
2
Add 5 to both sides:
$10x - 5 + 5 = -65 + 5 \ \Rightarrow\ 10x = -60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$10\cdot(-6) - 5 = -60 - 5 = -65 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 5 = -65\ \Rightarrow\ x = -6 \]
\[ 10x - 5 = -65 \]
\[ 10x - 5 + 5 = -65 + 5 \ \Rightarrow\ 10x = -60 \]
\[ \frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6 \]
\[ 10\cdot(-6) - 5 = -60 - 5 = -65 \checkmark \]

Trying values of x in 10x − 5 = −65

x	10x − 5	Equals -65?
-8	-85	no
-7	-75	no
-6	-65	yes
-5	-55	no
-4	-45	no

Questions

What is x in 10x − 5 = −65?

The solution of 10x − 5 = −65 is x = -6.

How do you solve 10x − 5 = −65?

Add 5 to both sides to get 10x = -60, then divide both sides by 10 to get x = -6.

How do I check the answer?

Replace x by -6: 10(-6) − 5 = -65, which is -65.

Solve 10x − 5 = −65

How to work it out

Trying values of x in 10x − 5 = −65

Questions

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