Solve 4x + 13 = −7

The solution of 4x + 13 = −7 is x = -5.

4x + 13 = -7\ \Rightarrow\ x = -5

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The lines y = 4x + 13 and y = -7 meet at x = -5. 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.
$4x + 13 = -7$
2
Subtract 13 from both sides:
$4x + 13 - 13 = -7 - 13 \ \Rightarrow\ 4x = -20$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-20}{4} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$4\cdot(-5) + 13 = -20 + 13 = -7 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 13 = -7\ \Rightarrow\ x = -5 \]
\[ 4x + 13 = -7 \]
\[ 4x + 13 - 13 = -7 - 13 \ \Rightarrow\ 4x = -20 \]
\[ \frac{4x}{4} = \frac{-20}{4} \ \Rightarrow\ x = -5 \]
\[ 4\cdot(-5) + 13 = -20 + 13 = -7 \checkmark \]

Trying values of x in 4x + 13 = −7

x	4x + 13	Equals -7?
-7	-15	no
-6	-11	no
-5	-7	yes
-4	-3	no
-3	1	no

Questions

What is x in 4x + 13 = −7?

The solution of 4x + 13 = −7 is x = -5.

How do you solve 4x + 13 = −7?

Subtract 13 from both sides to get 4x = -20, then divide both sides by 4 to get x = -5.

How do I check the answer?

Replace x by -5: 4(-5) + 13 = -7, which is -7.

Solve 4x + 13 = −7

How to work it out

Trying values of x in 4x + 13 = −7

Questions

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