Solve 10x + 13 = −57

The solution of 10x + 13 = −57 is x = -7.

10x + 13 = -57\ \Rightarrow\ x = -7

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The lines y = 10x + 13 and y = -57 meet at x = -7. 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.
$10x + 13 = -57$
2
Subtract 13 from both sides:
$10x + 13 - 13 = -57 - 13 \ \Rightarrow\ 10x = -70$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-70}{10} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$10\cdot(-7) + 13 = -70 + 13 = -57 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 13 = -57\ \Rightarrow\ x = -7 \]
\[ 10x + 13 = -57 \]
\[ 10x + 13 - 13 = -57 - 13 \ \Rightarrow\ 10x = -70 \]
\[ \frac{10x}{10} = \frac{-70}{10} \ \Rightarrow\ x = -7 \]
\[ 10\cdot(-7) + 13 = -70 + 13 = -57 \checkmark \]

Trying values of x in 10x + 13 = −57

x	10x + 13	Equals -57?
-9	-77	no
-8	-67	no
-7	-57	yes
-6	-47	no
-5	-37	no

Questions

What is x in 10x + 13 = −57?

The solution of 10x + 13 = −57 is x = -7.

How do you solve 10x + 13 = −57?

Subtract 13 from both sides to get 10x = -70, then divide both sides by 10 to get x = -7.

How do I check the answer?

Replace x by -7: 10(-7) + 13 = -57, which is -57.

Solve 10x + 13 = −57

How to work it out

Trying values of x in 10x + 13 = −57

Questions

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