Solve 5x − 12 = −7

The solution of 5x − 12 = −7 is x = 1.

5x - 12 = -7\ \Rightarrow\ x = 1

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The lines y = 5x − 12 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.
$5x - 12 = -7$
2
Add 12 to both sides:
$5x - 12 + 12 = -7 + 12 \ \Rightarrow\ 5x = 5$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$5\cdot1 - 12 = 5 - 12 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 12 = -7\ \Rightarrow\ x = 1 \]
\[ 5x - 12 = -7 \]
\[ 5x - 12 + 12 = -7 + 12 \ \Rightarrow\ 5x = 5 \]
\[ \frac{5x}{5} = \frac{5}{5} \ \Rightarrow\ x = 1 \]
\[ 5\cdot1 - 12 = 5 - 12 = -7 \checkmark \]

Trying values of x in 5x − 12 = −7

x	5x − 12	Equals -7?
-1	-17	no
0	-12	no
1	-7	yes
2	-2	no
3	3	no

Questions

What is x in 5x − 12 = −7?

The solution of 5x − 12 = −7 is x = 1.

How do you solve 5x − 12 = −7?

Add 12 to both sides to get 5x = 5, then divide both sides by 5 to get x = 1.

How do I check the answer?

Replace x by 1: 5(1) − 12 = -7, which is -7.

Solve 5x − 12 = −7

How to work it out

Trying values of x in 5x − 12 = −7

Questions

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