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Solve 4x + 10 = 54

The solution of 4x + 10 = 54 is x = 11.

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The lines y = 4x + 10 and y = 54 meet at x = 116810121416304050607080x = 11y = 4x + 10y = 54
The lines y = 4x + 10 and y = 54 meet at x = 11. 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=544x + 10 = 54
  2. 2

    Subtract 10 from both sides:

    4x+10−10=54−10 ⇒ 4x=444x + 10 - 10 = 54 - 10 \ \Rightarrow\ 4x = 44
  3. 3

    Divide both sides by 4:

    4x4=444 ⇒ x=11\frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    4⋅11+10=44+10=54✓4\cdot11 + 10 = 44 + 10 = 54 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 10 = 54\ \Rightarrow\ x = 11 \]
\[ 4x + 10 = 54 \]
\[ 4x + 10 - 10 = 54 - 10 \ \Rightarrow\ 4x = 44 \]
\[ \frac{4x}{4} = \frac{44}{4} \ \Rightarrow\ x = 11 \]
\[ 4\cdot11 + 10 = 44 + 10 = 54 \checkmark \]

Trying values of x in 4x + 10 = 54

x4x + 10Equals 54?
946no
1050no
1154yes
1258no
1362no

Questions

What is x in 4x + 10 = 54?

The solution of 4x + 10 = 54 is x = 11.

How do you solve 4x + 10 = 54?

Subtract 10 from both sides to get 4x = 44, then divide both sides by 4 to get x = 11.

How do I check the answer?

Replace x by 11: 4(11) + 10 = 54, which is 54.

Similar equations

    Solve 4x + 10 = 54: x = 11 (steps and check) | WordGPT