Solve 11x + 6 = 94

The solution of 11x + 6 = 94 is x = 8.

11x + 6 = 94\ \Rightarrow\ x = 8

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The lines y = 11x + 6 and y = 94 meet at x = 8. 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.
$11x + 6 = 94$
2
Subtract 6 from both sides:
$11x + 6 - 6 = 94 - 6 \ \Rightarrow\ 11x = 88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$11\cdot8 + 6 = 88 + 6 = 94 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 6 = 94\ \Rightarrow\ x = 8 \]
\[ 11x + 6 = 94 \]
\[ 11x + 6 - 6 = 94 - 6 \ \Rightarrow\ 11x = 88 \]
\[ \frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8 \]
\[ 11\cdot8 + 6 = 88 + 6 = 94 \checkmark \]

Trying values of x in 11x + 6 = 94

x	11x + 6	Equals 94?
6	72	no
7	83	no
8	94	yes
9	105	no
10	116	no

Questions

What is x in 11x + 6 = 94?

The solution of 11x + 6 = 94 is x = 8.

How do you solve 11x + 6 = 94?

Subtract 6 from both sides to get 11x = 88, then divide both sides by 11 to get x = 8.

How do I check the answer?

Replace x by 8: 11(8) + 6 = 94, which is 94.

Solve 11x + 6 = 94

How to work it out

Trying values of x in 11x + 6 = 94

Questions

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