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Solve 10x + 2 = 152

The solution of 10x + 2 = 152 is x = 15.

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The lines y = 10x + 2 and y = 152 meet at x = 1510121416182080100120140160180200220x = 15y = 10x + 2y = 152
The lines y = 10x + 2 and y = 152 meet at x = 15. 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+2=15210x + 2 = 152
  2. 2

    Subtract 2 from both sides:

    10x+2−2=152−2 ⇒ 10x=15010x + 2 - 2 = 152 - 2 \ \Rightarrow\ 10x = 150
  3. 3

    Divide both sides by 10:

    10x10=15010 ⇒ x=15\frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    10⋅15+2=150+2=152✓10\cdot15 + 2 = 150 + 2 = 152 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 2 = 152\ \Rightarrow\ x = 15 \]
\[ 10x + 2 = 152 \]
\[ 10x + 2 - 2 = 152 - 2 \ \Rightarrow\ 10x = 150 \]
\[ \frac{10x}{10} = \frac{150}{10} \ \Rightarrow\ x = 15 \]
\[ 10\cdot15 + 2 = 150 + 2 = 152 \checkmark \]

Trying values of x in 10x + 2 = 152

x10x + 2Equals 152?
13132no
14142no
15152yes
16162no
17172no

Questions

What is x in 10x + 2 = 152?

The solution of 10x + 2 = 152 is x = 15.

How do you solve 10x + 2 = 152?

Subtract 2 from both sides to get 10x = 150, then divide both sides by 10 to get x = 15.

How do I check the answer?

Replace x by 15: 10(15) + 2 = 152, which is 152.

Similar equations

    Solve 10x + 2 = 152: x = 15 (steps and check) | WordGPT