Solve 7x − 4 = −25

The solution of 7x − 4 = −25 is x = -3.

7x - 4 = -25\ \Rightarrow\ x = -3

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The lines y = 7x − 4 and y = -25 meet at x = -3. 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.
$7x - 4 = -25$
2
Add 4 to both sides:
$7x - 4 + 4 = -25 + 4 \ \Rightarrow\ 7x = -21$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$7\cdot(-3) - 4 = -21 - 4 = -25 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 4 = -25\ \Rightarrow\ x = -3 \]
\[ 7x - 4 = -25 \]
\[ 7x - 4 + 4 = -25 + 4 \ \Rightarrow\ 7x = -21 \]
\[ \frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3 \]
\[ 7\cdot(-3) - 4 = -21 - 4 = -25 \checkmark \]

Trying values of x in 7x − 4 = −25

x	7x − 4	Equals -25?
-5	-39	no
-4	-32	no
-3	-25	yes
-2	-18	no
-1	-11	no

Questions

What is x in 7x − 4 = −25?

The solution of 7x − 4 = −25 is x = -3.

How do you solve 7x − 4 = −25?

Add 4 to both sides to get 7x = -21, then divide both sides by 7 to get x = -3.

How do I check the answer?

Replace x by -3: 7(-3) − 4 = -25, which is -25.

Solve 7x − 4 = −25

How to work it out

Trying values of x in 7x − 4 = −25

Questions

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