Solve 4x + 1 = −7

The solution of 4x + 1 = −7 is x = -2.

4x + 1 = -7\ \Rightarrow\ x = -2

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The lines y = 4x + 1 and y = -7 meet at x = -2. 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.
$4x + 1 = -7$
2
Subtract 1 from both sides:
$4x + 1 - 1 = -7 - 1 \ \Rightarrow\ 4x = -8$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$4\cdot(-2) + 1 = -8 + 1 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 1 = -7\ \Rightarrow\ x = -2 \]
\[ 4x + 1 = -7 \]
\[ 4x + 1 - 1 = -7 - 1 \ \Rightarrow\ 4x = -8 \]
\[ \frac{4x}{4} = \frac{-8}{4} \ \Rightarrow\ x = -2 \]
\[ 4\cdot(-2) + 1 = -8 + 1 = -7 \checkmark \]

Trying values of x in 4x + 1 = −7

x	4x + 1	Equals -7?
-4	-15	no
-3	-11	no
-2	-7	yes
-1	-3	no
0	1	no

Questions

What is x in 4x + 1 = −7?

The solution of 4x + 1 = −7 is x = -2.

How do you solve 4x + 1 = −7?

Subtract 1 from both sides to get 4x = -8, then divide both sides by 4 to get x = -2.

How do I check the answer?

Replace x by -2: 4(-2) + 1 = -7, which is -7.

Solve 4x + 1 = −7

How to work it out

Trying values of x in 4x + 1 = −7

Questions

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