Solve 10x + 13 = −7

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 10x + 13 = −7

x	10x + 13	Equals -7?
-4	-27	no
-3	-17	no
-2	-7	yes
-1	3	no
0	13	no

Questions

What is x in 10x + 13 = −7?

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

How do you solve 10x + 13 = −7?

Subtract 13 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) + 13 = -7, which is -7.

Solve 10x + 13 = −7

How to work it out

Trying values of x in 10x + 13 = −7

Questions

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