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Solve 7x + 13 = 125

The solution of 7x + 13 = 125 is x = 16.

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The lines y = 7x + 13 and y = 125 meet at x = 161012141618202280100120140160x = 16y = 7x + 13y = 125
The lines y = 7x + 13 and y = 125 meet at x = 16. 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.

    7x+13=1257x + 13 = 125
  2. 2

    Subtract 13 from both sides:

    7x+13−13=125−13 ⇒ 7x=1127x + 13 - 13 = 125 - 13 \ \Rightarrow\ 7x = 112
  3. 3

    Divide both sides by 7:

    7x7=1127 ⇒ x=16\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    7⋅16+13=112+13=125✓7\cdot16 + 13 = 112 + 13 = 125 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 125\ \Rightarrow\ x = 16 \]
\[ 7x + 13 = 125 \]
\[ 7x + 13 - 13 = 125 - 13 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 + 13 = 112 + 13 = 125 \checkmark \]

Trying values of x in 7x + 13 = 125

x7x + 13Equals 125?
14111no
15118no
16125yes
17132no
18139no

Questions

What is x in 7x + 13 = 125?

The solution of 7x + 13 = 125 is x = 16.

How do you solve 7x + 13 = 125?

Subtract 13 from both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) + 13 = 125, which is 125.

Similar equations

    Solve 7x + 13 = 125: x = 16 (steps and check) | WordGPT