Solve 10x − 15 = −75

The solution of 10x − 15 = −75 is x = -6.

10x - 15 = -75\ \Rightarrow\ x = -6

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The lines y = 10x − 15 and y = -75 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.
$10x - 15 = -75$
2
Add 15 to both sides:
$10x - 15 + 15 = -75 + 15 \ \Rightarrow\ 10x = -60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$10\cdot(-6) - 15 = -60 - 15 = -75 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 15 = -75\ \Rightarrow\ x = -6 \]
\[ 10x - 15 = -75 \]
\[ 10x - 15 + 15 = -75 + 15 \ \Rightarrow\ 10x = -60 \]
\[ \frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6 \]
\[ 10\cdot(-6) - 15 = -60 - 15 = -75 \checkmark \]

Trying values of x in 10x − 15 = −75

x	10x − 15	Equals -75?
-8	-95	no
-7	-85	no
-6	-75	yes
-5	-65	no
-4	-55	no

Questions

What is x in 10x − 15 = −75?

The solution of 10x − 15 = −75 is x = -6.

How do you solve 10x − 15 = −75?

Add 15 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) − 15 = -75, which is -75.

Solve 10x − 15 = −75

How to work it out

Trying values of x in 10x − 15 = −75

Questions

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