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Solve 7x + 10 = 150

The solution of 7x + 10 = 150 is x = 20.

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The lines y = 7x + 10 and y = 150 meet at x = 2014161820222426100120140160180200x = 20y = 7x + 10y = 150
The lines y = 7x + 10 and y = 150 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+10=1507x + 10 = 150
  2. 2

    Subtract 10 from both sides:

    7x+10−10=150−10 ⇒ 7x=1407x + 10 - 10 = 150 - 10 \ \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+10=140+10=150✓7\cdot20 + 10 = 140 + 10 = 150 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 150\ \Rightarrow\ x = 20 \]
\[ 7x + 10 = 150 \]
\[ 7x + 10 - 10 = 150 - 10 \ \Rightarrow\ 7x = 140 \]
\[ \frac{7x}{7} = \frac{140}{7} \ \Rightarrow\ x = 20 \]
\[ 7\cdot20 + 10 = 140 + 10 = 150 \checkmark \]

Trying values of x in 7x + 10 = 150

x7x + 10Equals 150?
18136no
19143no
20150yes
21157no
22164no

Questions

What is x in 7x + 10 = 150?

The solution of 7x + 10 = 150 is x = 20.

How do you solve 7x + 10 = 150?

Subtract 10 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) + 10 = 150, which is 150.

Similar equations

    Solve 7x + 10 = 150: x = 20 (steps and check) | WordGPT