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Solve 10x + 5 = 125

The solution of 10x + 5 = 125 is x = 12.

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The lines y = 10x + 5 and y = 125 meet at x = 126810121416186080100120140160180x = 12y = 10x + 5y = 125
The lines y = 10x + 5 and y = 125 meet at x = 12. 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+5=12510x + 5 = 125
  2. 2

    Subtract 5 from both sides:

    10x+5−5=125−5 ⇒ 10x=12010x + 5 - 5 = 125 - 5 \ \Rightarrow\ 10x = 120
  3. 3

    Divide both sides by 10:

    10x10=12010 ⇒ x=12\frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    10⋅12+5=120+5=125✓10\cdot12 + 5 = 120 + 5 = 125 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 5 = 125\ \Rightarrow\ x = 12 \]
\[ 10x + 5 = 125 \]
\[ 10x + 5 - 5 = 125 - 5 \ \Rightarrow\ 10x = 120 \]
\[ \frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12 \]
\[ 10\cdot12 + 5 = 120 + 5 = 125 \checkmark \]

Trying values of x in 10x + 5 = 125

x10x + 5Equals 125?
10105no
11115no
12125yes
13135no
14145no

Questions

What is x in 10x + 5 = 125?

The solution of 10x + 5 = 125 is x = 12.

How do you solve 10x + 5 = 125?

Subtract 5 from both sides to get 10x = 120, then divide both sides by 10 to get x = 12.

How do I check the answer?

Replace x by 12: 10(12) + 5 = 125, which is 125.

Similar equations

    Solve 10x + 5 = 125: x = 12 (steps and check) | WordGPT