Solve 12x − 7 = −19

The solution of 12x − 7 = −19 is x = -1.

12x - 7 = -19\ \Rightarrow\ x = -1

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The lines y = 12x − 7 and y = -19 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.
$12x - 7 = -19$
2
Add 7 to both sides:
$12x - 7 + 7 = -19 + 7 \ \Rightarrow\ 12x = -12$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$12\cdot(-1) - 7 = -12 - 7 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = -19\ \Rightarrow\ x = -1 \]
\[ 12x - 7 = -19 \]
\[ 12x - 7 + 7 = -19 + 7 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) - 7 = -12 - 7 = -19 \checkmark \]

Trying values of x in 12x − 7 = −19

x	12x − 7	Equals -19?
-3	-43	no
-2	-31	no
-1	-19	yes
0	-7	no
1	5	no

Questions

What is x in 12x − 7 = −19?

The solution of 12x − 7 = −19 is x = -1.

How do you solve 12x − 7 = −19?

Add 7 to both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) − 7 = -19, which is -19.

Solve 12x − 7 = −19

How to work it out

Trying values of x in 12x − 7 = −19

Questions

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