Solve 6x + 8 = −52

The solution of 6x + 8 = −52 is x = -10.

6x + 8 = -52\ \Rightarrow\ x = -10

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The lines y = 6x + 8 and y = -52 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.
$6x + 8 = -52$
2
Subtract 8 from both sides:
$6x + 8 - 8 = -52 - 8 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) + 8 = -60 + 8 = -52 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 8 = -52\ \Rightarrow\ x = -10 \]
\[ 6x + 8 = -52 \]
\[ 6x + 8 - 8 = -52 - 8 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) + 8 = -60 + 8 = -52 \checkmark \]

Trying values of x in 6x + 8 = −52

x	6x + 8	Equals -52?
-12	-64	no
-11	-58	no
-10	-52	yes
-9	-46	no
-8	-40	no

Questions

What is x in 6x + 8 = −52?

The solution of 6x + 8 = −52 is x = -10.

How do you solve 6x + 8 = −52?

Subtract 8 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) + 8 = -52, which is -52.

Solve 6x + 8 = −52

How to work it out

Trying values of x in 6x + 8 = −52

Questions

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