Solve 7x − 14 = −7

The solution of 7x − 14 = −7 is x = 1.

7x - 14 = -7\ \Rightarrow\ x = 1

Explain it step by step in chat Make a short video of it

The lines y = 7x − 14 and y = -7 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.
$7x - 14 = -7$
2
Add 14 to both sides:
$7x - 14 + 14 = -7 + 14 \ \Rightarrow\ 7x = 7$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$7\cdot1 - 14 = 7 - 14 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 14 = -7\ \Rightarrow\ x = 1 \]
\[ 7x - 14 = -7 \]
\[ 7x - 14 + 14 = -7 + 14 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 - 14 = 7 - 14 = -7 \checkmark \]

Trying values of x in 7x − 14 = −7

x	7x − 14	Equals -7?
-1	-21	no
0	-14	no
1	-7	yes
2	0	no
3	7	no

Questions

What is x in 7x − 14 = −7?

The solution of 7x − 14 = −7 is x = 1.

How do you solve 7x − 14 = −7?

Add 14 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) − 14 = -7, which is -7.

Solve 7x − 14 = −7

How to work it out

Trying values of x in 7x − 14 = −7

Questions

Similar equations