Solve 7x − 10 = −17

The solution of 7x − 10 = −17 is x = -1.

7x - 10 = -17\ \Rightarrow\ x = -1

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The lines y = 7x − 10 and y = -17 meet at x = -1. 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.
$7x - 10 = -17$
2
Add 10 to both sides:
$7x - 10 + 10 = -17 + 10 \ \Rightarrow\ 7x = -7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$7\cdot(-1) - 10 = -7 - 10 = -17 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = -17\ \Rightarrow\ x = -1 \]
\[ 7x - 10 = -17 \]
\[ 7x - 10 + 10 = -17 + 10 \ \Rightarrow\ 7x = -7 \]
\[ \frac{7x}{7} = \frac{-7}{7} \ \Rightarrow\ x = -1 \]
\[ 7\cdot(-1) - 10 = -7 - 10 = -17 \checkmark \]

Trying values of x in 7x − 10 = −17

x	7x − 10	Equals -17?
-3	-31	no
-2	-24	no
-1	-17	yes
0	-10	no
1	-3	no

Questions

What is x in 7x − 10 = −17?

The solution of 7x − 10 = −17 is x = -1.

How do you solve 7x − 10 = −17?

Add 10 to both sides to get 7x = -7, then divide both sides by 7 to get x = -1.

How do I check the answer?

Replace x by -1: 7(-1) − 10 = -17, which is -17.

Solve 7x − 10 = −17

How to work it out

Trying values of x in 7x − 10 = −17

Questions

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