Solve 6x − 13 = −19

The solution of 6x − 13 = −19 is x = -1.

6x - 13 = -19\ \Rightarrow\ x = -1

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The lines y = 6x − 13 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.
$6x - 13 = -19$
2
Add 13 to both sides:
$6x - 13 + 13 = -19 + 13 \ \Rightarrow\ 6x = -6$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$6\cdot(-1) - 13 = -6 - 13 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = -19\ \Rightarrow\ x = -1 \]
\[ 6x - 13 = -19 \]
\[ 6x - 13 + 13 = -19 + 13 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) - 13 = -6 - 13 = -19 \checkmark \]

Trying values of x in 6x − 13 = −19

x	6x − 13	Equals -19?
-3	-31	no
-2	-25	no
-1	-19	yes
0	-13	no
1	-7	no

Questions

What is x in 6x − 13 = −19?

The solution of 6x − 13 = −19 is x = -1.

How do you solve 6x − 13 = −19?

Add 13 to both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) − 13 = -19, which is -19.

Solve 6x − 13 = −19

How to work it out

Trying values of x in 6x − 13 = −19

Questions

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