Solve 6x + 7 = −53

The solution of 6x + 7 = −53 is x = -10.

6x + 7 = -53\ \Rightarrow\ x = -10

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The lines y = 6x + 7 and y = -53 meet at x = -10. 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 addition, then the multiplication.
$6x + 7 = -53$
2
Subtract 7 from both sides:
$6x + 7 - 7 = -53 - 7 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) + 7 = -60 + 7 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 7 = -53\ \Rightarrow\ x = -10 \]
\[ 6x + 7 = -53 \]
\[ 6x + 7 - 7 = -53 - 7 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) + 7 = -60 + 7 = -53 \checkmark \]

Trying values of x in 6x + 7 = −53

x	6x + 7	Equals -53?
-12	-65	no
-11	-59	no
-10	-53	yes
-9	-47	no
-8	-41	no

Questions

What is x in 6x + 7 = −53?

The solution of 6x + 7 = −53 is x = -10.

How do you solve 6x + 7 = −53?

Subtract 7 from both sides to get 6x = -60, then divide both sides by 6 to get x = -10.

How do I check the answer?

Replace x by -10: 6(-10) + 7 = -53, which is -53.

Solve 6x + 7 = −53

How to work it out

Trying values of x in 6x + 7 = −53

Questions

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