Solve 7x − 4 = −53

The solution of 7x − 4 = −53 is x = -7.

7x - 4 = -53\ \Rightarrow\ x = -7

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The lines y = 7x − 4 and y = -53 meet at x = -7. 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 subtraction, then the multiplication.
$7x - 4 = -53$
2
Add 4 to both sides:
$7x - 4 + 4 = -53 + 4 \ \Rightarrow\ 7x = -49$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-49}{7} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$7\cdot(-7) - 4 = -49 - 4 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 4 = -53\ \Rightarrow\ x = -7 \]
\[ 7x - 4 = -53 \]
\[ 7x - 4 + 4 = -53 + 4 \ \Rightarrow\ 7x = -49 \]
\[ \frac{7x}{7} = \frac{-49}{7} \ \Rightarrow\ x = -7 \]
\[ 7\cdot(-7) - 4 = -49 - 4 = -53 \checkmark \]

Trying values of x in 7x − 4 = −53

x	7x − 4	Equals -53?
-9	-67	no
-8	-60	no
-7	-53	yes
-6	-46	no
-5	-39	no

Questions

What is x in 7x − 4 = −53?

The solution of 7x − 4 = −53 is x = -7.

How do you solve 7x − 4 = −53?

Add 4 to both sides to get 7x = -49, then divide both sides by 7 to get x = -7.

How do I check the answer?

Replace x by -7: 7(-7) − 4 = -53, which is -53.

Solve 7x − 4 = −53

How to work it out

Trying values of x in 7x − 4 = −53

Questions

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