Solve 10x + 7 = −13

The solution of 10x + 7 = −13 is x = -2.

10x + 7 = -13\ \Rightarrow\ x = -2

Explain it step by step in chat Make a short video of it

The lines y = 10x + 7 and y = -13 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.
$10x + 7 = -13$
2
Subtract 7 from both sides:
$10x + 7 - 7 = -13 - 7 \ \Rightarrow\ 10x = -20$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-20}{10} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$10\cdot(-2) + 7 = -20 + 7 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 7 = -13\ \Rightarrow\ x = -2 \]
\[ 10x + 7 = -13 \]
\[ 10x + 7 - 7 = -13 - 7 \ \Rightarrow\ 10x = -20 \]
\[ \frac{10x}{10} = \frac{-20}{10} \ \Rightarrow\ x = -2 \]
\[ 10\cdot(-2) + 7 = -20 + 7 = -13 \checkmark \]

Trying values of x in 10x + 7 = −13

x	10x + 7	Equals -13?
-4	-33	no
-3	-23	no
-2	-13	yes
-1	-3	no
0	7	no

Questions

What is x in 10x + 7 = −13?

The solution of 10x + 7 = −13 is x = -2.

How do you solve 10x + 7 = −13?

Subtract 7 from both sides to get 10x = -20, then divide both sides by 10 to get x = -2.

How do I check the answer?

Replace x by -2: 10(-2) + 7 = -13, which is -13.

Solve 10x + 7 = −13

How to work it out

Trying values of x in 10x + 7 = −13

Questions

Similar equations