Solve 10x − 7 = −67

The solution of 10x − 7 = −67 is x = -6.

10x - 7 = -67\ \Rightarrow\ x = -6

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The lines y = 10x − 7 and y = -67 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.
$10x - 7 = -67$
2
Add 7 to both sides:
$10x - 7 + 7 = -67 + 7 \ \Rightarrow\ 10x = -60$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$10\cdot(-6) - 7 = -60 - 7 = -67 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = -67\ \Rightarrow\ x = -6 \]
\[ 10x - 7 = -67 \]
\[ 10x - 7 + 7 = -67 + 7 \ \Rightarrow\ 10x = -60 \]
\[ \frac{10x}{10} = \frac{-60}{10} \ \Rightarrow\ x = -6 \]
\[ 10\cdot(-6) - 7 = -60 - 7 = -67 \checkmark \]

Trying values of x in 10x − 7 = −67

x	10x − 7	Equals -67?
-8	-87	no
-7	-77	no
-6	-67	yes
-5	-57	no
-4	-47	no

Questions

What is x in 10x − 7 = −67?

The solution of 10x − 7 = −67 is x = -6.

How do you solve 10x − 7 = −67?

Add 7 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) − 7 = -67, which is -67.

Solve 10x − 7 = −67

How to work it out

Trying values of x in 10x − 7 = −67

Questions

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