Solve 11x − 7 = −84

The solution of 11x − 7 = −84 is x = -7.

11x - 7 = -84\ \Rightarrow\ x = -7

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The lines y = 11x − 7 and y = -84 meet at x = -7. 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.
$11x - 7 = -84$
2
Add 7 to both sides:
$11x - 7 + 7 = -84 + 7 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) - 7 = -77 - 7 = -84 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = -84\ \Rightarrow\ x = -7 \]
\[ 11x - 7 = -84 \]
\[ 11x - 7 + 7 = -84 + 7 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) - 7 = -77 - 7 = -84 \checkmark \]

Trying values of x in 11x − 7 = −84

x	11x − 7	Equals -84?
-9	-106	no
-8	-95	no
-7	-84	yes
-6	-73	no
-5	-62	no

Questions

What is x in 11x − 7 = −84?

The solution of 11x − 7 = −84 is x = -7.

How do you solve 11x − 7 = −84?

Add 7 to both sides to get 11x = -77, then divide both sides by 11 to get x = -7.

How do I check the answer?

Replace x by -7: 11(-7) − 7 = -84, which is -84.

Solve 11x − 7 = −84

How to work it out

Trying values of x in 11x − 7 = −84

Questions

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