Solve 7x − 14 = −70

The solution of 7x − 14 = −70 is x = -8.

7x - 14 = -70\ \Rightarrow\ x = -8

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The lines y = 7x − 14 and y = -70 meet at x = -8. 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.
$7x - 14 = -70$
2
Add 14 to both sides:
$7x - 14 + 14 = -70 + 14 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) - 14 = -56 - 14 = -70 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 14 = -70\ \Rightarrow\ x = -8 \]
\[ 7x - 14 = -70 \]
\[ 7x - 14 + 14 = -70 + 14 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) - 14 = -56 - 14 = -70 \checkmark \]

Trying values of x in 7x − 14 = −70

x	7x − 14	Equals -70?
-10	-84	no
-9	-77	no
-8	-70	yes
-7	-63	no
-6	-56	no

Questions

What is x in 7x − 14 = −70?

The solution of 7x − 14 = −70 is x = -8.

How do you solve 7x − 14 = −70?

Add 14 to both sides to get 7x = -56, then divide both sides by 7 to get x = -8.

How do I check the answer?

Replace x by -8: 7(-8) − 14 = -70, which is -70.

Solve 7x − 14 = −70

How to work it out

Trying values of x in 7x − 14 = −70

Questions

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