Solve 10x − 7 = −77

The solution of 10x − 7 = −77 is x = -7.

10x - 7 = -77\ \Rightarrow\ x = -7

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The lines y = 10x − 7 and y = -77 meet at x = -7. 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.
$10x - 7 = -77$
2
Add 7 to both sides:
$10x - 7 + 7 = -77 + 7 \ \Rightarrow\ 10x = -70$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-70}{10} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$10\cdot(-7) - 7 = -70 - 7 = -77 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 7 = -77\ \Rightarrow\ x = -7 \]
\[ 10x - 7 = -77 \]
\[ 10x - 7 + 7 = -77 + 7 \ \Rightarrow\ 10x = -70 \]
\[ \frac{10x}{10} = \frac{-70}{10} \ \Rightarrow\ x = -7 \]
\[ 10\cdot(-7) - 7 = -70 - 7 = -77 \checkmark \]

Trying values of x in 10x − 7 = −77

x	10x − 7	Equals -77?
-9	-97	no
-8	-87	no
-7	-77	yes
-6	-67	no
-5	-57	no

Questions

What is x in 10x − 7 = −77?

The solution of 10x − 7 = −77 is x = -7.

How do you solve 10x − 7 = −77?

Add 7 to both sides to get 10x = -70, then divide both sides by 10 to get x = -7.

How do I check the answer?

Replace x by -7: 10(-7) − 7 = -77, which is -77.

Solve 10x − 7 = −77

How to work it out

Trying values of x in 10x − 7 = −77

Questions

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