Solve 7x + 6 = −50

The solution of 7x + 6 = −50 is x = -8.

7x + 6 = -50\ \Rightarrow\ x = -8

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The lines y = 7x + 6 and y = -50 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.
$7x + 6 = -50$
2
Subtract 6 from both sides:
$7x + 6 - 6 = -50 - 6 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) + 6 = -56 + 6 = -50 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 6 = -50\ \Rightarrow\ x = -8 \]
\[ 7x + 6 = -50 \]
\[ 7x + 6 - 6 = -50 - 6 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) + 6 = -56 + 6 = -50 \checkmark \]

Trying values of x in 7x + 6 = −50

x	7x + 6	Equals -50?
-10	-64	no
-9	-57	no
-8	-50	yes
-7	-43	no
-6	-36	no

Questions

What is x in 7x + 6 = −50?

The solution of 7x + 6 = −50 is x = -8.

How do you solve 7x + 6 = −50?

Subtract 6 from both sides to get 7x = -56, then divide both sides by 7 to get x = -8.

How do I check the answer?

Replace x by -8: 7(-8) + 6 = -50, which is -50.

Solve 7x + 6 = −50

How to work it out

Trying values of x in 7x + 6 = −50

Questions

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