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Solve 5x + 10 = 40

The solution of 5x + 10 = 40 is x = 6.

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The lines y = 5x + 10 and y = 40 meet at x = 62468101210203040506070x = 6y = 5x + 10y = 40
The lines y = 5x + 10 and y = 40 meet at x = 6. 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.

    5x+10=405x + 10 = 40
  2. 2

    Subtract 10 from both sides:

    5x+10−10=40−10 ⇒ 5x=305x + 10 - 10 = 40 - 10 \ \Rightarrow\ 5x = 30
  3. 3

    Divide both sides by 5:

    5x5=305 ⇒ x=6\frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    5⋅6+10=30+10=40✓5\cdot6 + 10 = 30 + 10 = 40 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 10 = 40\ \Rightarrow\ x = 6 \]
\[ 5x + 10 = 40 \]
\[ 5x + 10 - 10 = 40 - 10 \ \Rightarrow\ 5x = 30 \]
\[ \frac{5x}{5} = \frac{30}{5} \ \Rightarrow\ x = 6 \]
\[ 5\cdot6 + 10 = 30 + 10 = 40 \checkmark \]

Trying values of x in 5x + 10 = 40

x5x + 10Equals 40?
430no
535no
640yes
745no
850no

Questions

What is x in 5x + 10 = 40?

The solution of 5x + 10 = 40 is x = 6.

How do you solve 5x + 10 = 40?

Subtract 10 from both sides to get 5x = 30, then divide both sides by 5 to get x = 6.

How do I check the answer?

Replace x by 6: 5(6) + 10 = 40, which is 40.

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    Solve 5x + 10 = 40: x = 6 (steps and check) | WordGPT