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Solve 4x + 7 = 71

The solution of 4x + 7 = 71 is x = 16.

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The lines y = 4x + 7 and y = 71 meet at x = 16101214161820225060708090100x = 16y = 4x + 7y = 71
The lines y = 4x + 7 and y = 71 meet at x = 16. 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+7=714x + 7 = 71
  2. 2

    Subtract 7 from both sides:

    4x+7−7=71−7 ⇒ 4x=644x + 7 - 7 = 71 - 7 \ \Rightarrow\ 4x = 64
  3. 3

    Divide both sides by 4:

    4x4=644 ⇒ x=16\frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    4⋅16+7=64+7=71✓4\cdot16 + 7 = 64 + 7 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 71\ \Rightarrow\ x = 16 \]
\[ 4x + 7 = 71 \]
\[ 4x + 7 - 7 = 71 - 7 \ \Rightarrow\ 4x = 64 \]
\[ \frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16 \]
\[ 4\cdot16 + 7 = 64 + 7 = 71 \checkmark \]

Trying values of x in 4x + 7 = 71

x4x + 7Equals 71?
1463no
1567no
1671yes
1775no
1879no

Questions

What is x in 4x + 7 = 71?

The solution of 4x + 7 = 71 is x = 16.

How do you solve 4x + 7 = 71?

Subtract 7 from both sides to get 4x = 64, then divide both sides by 4 to get x = 16.

How do I check the answer?

Replace x by 16: 4(16) + 7 = 71, which is 71.

Similar equations

    Solve 4x + 7 = 71: x = 16 (steps and check) | WordGPT