Solve 7x − 14 = −84

The solution of 7x − 14 = −84 is x = -10.

7x - 14 = -84\ \Rightarrow\ x = -10

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The lines y = 7x − 14 and y = -84 meet at x = -10. 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.
$7x - 14 = -84$
2
Add 14 to both sides:
$7x - 14 + 14 = -84 + 14 \ \Rightarrow\ 7x = -70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$7\cdot(-10) - 14 = -70 - 14 = -84 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 14 = -84\ \Rightarrow\ x = -10 \]
\[ 7x - 14 = -84 \]
\[ 7x - 14 + 14 = -84 + 14 \ \Rightarrow\ 7x = -70 \]
\[ \frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10 \]
\[ 7\cdot(-10) - 14 = -70 - 14 = -84 \checkmark \]

Trying values of x in 7x − 14 = −84

x	7x − 14	Equals -84?
-12	-98	no
-11	-91	no
-10	-84	yes
-9	-77	no
-8	-70	no

Questions

What is x in 7x − 14 = −84?

The solution of 7x − 14 = −84 is x = -10.

How do you solve 7x − 14 = −84?

Add 14 to both sides to get 7x = -70, then divide both sides by 7 to get x = -10.

How do I check the answer?

Replace x by -10: 7(-10) − 14 = -84, which is -84.

Solve 7x − 14 = −84

How to work it out

Trying values of x in 7x − 14 = −84

Questions

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