Solve 6x − 13 = −7

The solution of 6x − 13 = −7 is x = 1.

6x - 13 = -7\ \Rightarrow\ x = 1

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The lines y = 6x − 13 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.
$6x - 13 = -7$
2
Add 13 to both sides:
$6x - 13 + 13 = -7 + 13 \ \Rightarrow\ 6x = 6$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$6\cdot1 - 13 = 6 - 13 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = -7\ \Rightarrow\ x = 1 \]
\[ 6x - 13 = -7 \]
\[ 6x - 13 + 13 = -7 + 13 \ \Rightarrow\ 6x = 6 \]
\[ \frac{6x}{6} = \frac{6}{6} \ \Rightarrow\ x = 1 \]
\[ 6\cdot1 - 13 = 6 - 13 = -7 \checkmark \]

Trying values of x in 6x − 13 = −7

x	6x − 13	Equals -7?
-1	-19	no
0	-13	no
1	-7	yes
2	-1	no
3	5	no

Questions

What is x in 6x − 13 = −7?

The solution of 6x − 13 = −7 is x = 1.

How do you solve 6x − 13 = −7?

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 = -7, which is -7.

Solve 6x − 13 = −7

How to work it out

Trying values of x in 6x − 13 = −7

Questions

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