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Solve 7x + 13 = 153

The solution of 7x + 13 = 153 is x = 20.

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The lines y = 7x + 13 and y = 153 meet at x = 2014161820222426120140160180200x = 20y = 7x + 13y = 153
The lines y = 7x + 13 and y = 153 meet at x = 20. 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=1537x + 13 = 153
  2. 2

    Subtract 13 from both sides:

    7x+13−13=153−13 ⇒ 7x=1407x + 13 - 13 = 153 - 13 \ \Rightarrow\ 7x = 140
  3. 3

    Divide both sides by 7:

    7x7=1407 ⇒ x=20\frac{7x}{7} = \frac{140}{7} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    7⋅20+13=140+13=153✓7\cdot20 + 13 = 140 + 13 = 153 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 153\ \Rightarrow\ x = 20 \]
\[ 7x + 13 = 153 \]
\[ 7x + 13 - 13 = 153 - 13 \ \Rightarrow\ 7x = 140 \]
\[ \frac{7x}{7} = \frac{140}{7} \ \Rightarrow\ x = 20 \]
\[ 7\cdot20 + 13 = 140 + 13 = 153 \checkmark \]

Trying values of x in 7x + 13 = 153

x7x + 13Equals 153?
18139no
19146no
20153yes
21160no
22167no

Questions

What is x in 7x + 13 = 153?

The solution of 7x + 13 = 153 is x = 20.

How do you solve 7x + 13 = 153?

Subtract 13 from both sides to get 7x = 140, then divide both sides by 7 to get x = 20.

How do I check the answer?

Replace x by 20: 7(20) + 13 = 153, which is 153.

Similar equations

    Solve 7x + 13 = 153: x = 20 (steps and check) | WordGPT