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Solve 4x + 10 = 30

The solution of 4x + 10 = 30 is x = 5.

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The lines y = 4x + 10 and y = 30 meet at x = 52468101020304050x = 5y = 4x + 10y = 30
The lines y = 4x + 10 and y = 30 meet at x = 5. 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.

    4x+10=304x + 10 = 30
  2. 2

    Subtract 10 from both sides:

    4x+10−10=30−10 ⇒ 4x=204x + 10 - 10 = 30 - 10 \ \Rightarrow\ 4x = 20
  3. 3

    Divide both sides by 4:

    4x4=204 ⇒ x=5\frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    4⋅5+10=20+10=30✓4\cdot5 + 10 = 20 + 10 = 30 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 10 = 30\ \Rightarrow\ x = 5 \]
\[ 4x + 10 = 30 \]
\[ 4x + 10 - 10 = 30 - 10 \ \Rightarrow\ 4x = 20 \]
\[ \frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5 \]
\[ 4\cdot5 + 10 = 20 + 10 = 30 \checkmark \]

Trying values of x in 4x + 10 = 30

x4x + 10Equals 30?
322no
426no
530yes
634no
738no

Questions

What is x in 4x + 10 = 30?

The solution of 4x + 10 = 30 is x = 5.

How do you solve 4x + 10 = 30?

Subtract 10 from both sides to get 4x = 20, then divide both sides by 4 to get x = 5.

How do I check the answer?

Replace x by 5: 4(5) + 10 = 30, which is 30.

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    Solve 4x + 10 = 30: x = 5 (steps and check) | WordGPT