Solve 6x − 7 = −37

The solution of 6x − 7 = −37 is x = -5.

6x - 7 = -37\ \Rightarrow\ x = -5

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The lines y = 6x − 7 and y = -37 meet at x = -5. 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.
$6x - 7 = -37$
2
Add 7 to both sides:
$6x - 7 + 7 = -37 + 7 \ \Rightarrow\ 6x = -30$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-30}{6} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$6\cdot(-5) - 7 = -30 - 7 = -37 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 7 = -37\ \Rightarrow\ x = -5 \]
\[ 6x - 7 = -37 \]
\[ 6x - 7 + 7 = -37 + 7 \ \Rightarrow\ 6x = -30 \]
\[ \frac{6x}{6} = \frac{-30}{6} \ \Rightarrow\ x = -5 \]
\[ 6\cdot(-5) - 7 = -30 - 7 = -37 \checkmark \]

Trying values of x in 6x − 7 = −37

x	6x − 7	Equals -37?
-7	-49	no
-6	-43	no
-5	-37	yes
-4	-31	no
-3	-25	no

Questions

What is x in 6x − 7 = −37?

The solution of 6x − 7 = −37 is x = -5.

How do you solve 6x − 7 = −37?

Add 7 to both sides to get 6x = -30, then divide both sides by 6 to get x = -5.

How do I check the answer?

Replace x by -5: 6(-5) − 7 = -37, which is -37.

Solve 6x − 7 = −37

How to work it out

Trying values of x in 6x − 7 = −37

Questions

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