Solve 7x + 4 = −52

The solution of 7x + 4 = −52 is x = -8.

7x + 4 = -52\ \Rightarrow\ x = -8

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The lines y = 7x + 4 and y = -52 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.
$7x + 4 = -52$
2
Subtract 4 from both sides:
$7x + 4 - 4 = -52 - 4 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) + 4 = -56 + 4 = -52 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 4 = -52\ \Rightarrow\ x = -8 \]
\[ 7x + 4 = -52 \]
\[ 7x + 4 - 4 = -52 - 4 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) + 4 = -56 + 4 = -52 \checkmark \]

Trying values of x in 7x + 4 = −52

x	7x + 4	Equals -52?
-10	-66	no
-9	-59	no
-8	-52	yes
-7	-45	no
-6	-38	no

Questions

What is x in 7x + 4 = −52?

The solution of 7x + 4 = −52 is x = -8.

How do you solve 7x + 4 = −52?

Subtract 4 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) + 4 = -52, which is -52.

Solve 7x + 4 = −52

How to work it out

Trying values of x in 7x + 4 = −52

Questions

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