Solve 7x + 8 = −48

The solution of 7x + 8 = −48 is x = -8.

7x + 8 = -48\ \Rightarrow\ x = -8

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The lines y = 7x + 8 and y = -48 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.
$7x + 8 = -48$
2
Subtract 8 from both sides:
$7x + 8 - 8 = -48 - 8 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) + 8 = -56 + 8 = -48 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 8 = -48\ \Rightarrow\ x = -8 \]
\[ 7x + 8 = -48 \]
\[ 7x + 8 - 8 = -48 - 8 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) + 8 = -56 + 8 = -48 \checkmark \]

Trying values of x in 7x + 8 = −48

x	7x + 8	Equals -48?
-10	-62	no
-9	-55	no
-8	-48	yes
-7	-41	no
-6	-34	no

Questions

What is x in 7x + 8 = −48?

The solution of 7x + 8 = −48 is x = -8.

How do you solve 7x + 8 = −48?

Subtract 8 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) + 8 = -48, which is -48.

Solve 7x + 8 = −48

How to work it out

Trying values of x in 7x + 8 = −48

Questions

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