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Solve 10x + 13 = 153

The solution of 10x + 13 = 153 is x = 14.

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The lines y = 10x + 13 and y = 153 meet at x = 148101214161820100120140160180200220x = 14y = 10x + 13y = 153
The lines y = 10x + 13 and y = 153 meet at x = 14. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    10x+13=15310x + 13 = 153
  2. 2

    Subtract 13 from both sides:

    10x+13−13=153−13 ⇒ 10x=14010x + 13 - 13 = 153 - 13 \ \Rightarrow\ 10x = 140
  3. 3

    Divide both sides by 10:

    10x10=14010 ⇒ x=14\frac{10x}{10} = \frac{140}{10} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    10⋅14+13=140+13=153✓10\cdot14 + 13 = 140 + 13 = 153 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 153\ \Rightarrow\ x = 14 \]
\[ 10x + 13 = 153 \]
\[ 10x + 13 - 13 = 153 - 13 \ \Rightarrow\ 10x = 140 \]
\[ \frac{10x}{10} = \frac{140}{10} \ \Rightarrow\ x = 14 \]
\[ 10\cdot14 + 13 = 140 + 13 = 153 \checkmark \]

Trying values of x in 10x + 13 = 153

x10x + 13Equals 153?
12133no
13143no
14153yes
15163no
16173no

Questions

What is x in 10x + 13 = 153?

The solution of 10x + 13 = 153 is x = 14.

How do you solve 10x + 13 = 153?

Subtract 13 from both sides to get 10x = 140, then divide both sides by 10 to get x = 14.

How do I check the answer?

Replace x by 14: 10(14) + 13 = 153, which is 153.

Similar equations

    Solve 10x + 13 = 153: x = 14 (steps and check) | WordGPT