Solve 5x + 7 = −13

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 5x + 7 = −13

x	5x + 7	Equals -13?
-6	-23	no
-5	-18	no
-4	-13	yes
-3	-8	no
-2	-3	no

Questions

What is x in 5x + 7 = −13?

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

How do you solve 5x + 7 = −13?

Subtract 7 from both sides to get 5x = -20, then divide both sides by 5 to get x = -4.

How do I check the answer?

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

Solve 5x + 7 = −13

How to work it out

Trying values of x in 5x + 7 = −13

Questions

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