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Solve 5x + 7 = 27

The solution of 5x + 7 = 27 is x = 4.

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The lines y = 5x + 7 and y = 27 meet at x = 4-2246810102030405060x = 4y = 5x + 7y = 27
The lines y = 5x + 7 and y = 27 meet at x = 4. 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+7=275x + 7 = 27
  2. 2

    Subtract 7 from both sides:

    5x+7−7=27−7 ⇒ 5x=205x + 7 - 7 = 27 - 7 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+7=20+7=27✓5\cdot4 + 7 = 20 + 7 = 27 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 27\ \Rightarrow\ x = 4 \]
\[ 5x + 7 = 27 \]
\[ 5x + 7 - 7 = 27 - 7 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 7 = 20 + 7 = 27 \checkmark \]

Trying values of x in 5x + 7 = 27

x5x + 7Equals 27?
217no
322no
427yes
532no
637no

Questions

What is x in 5x + 7 = 27?

The solution of 5x + 7 = 27 is x = 4.

How do you solve 5x + 7 = 27?

Subtract 7 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 7 = 27, which is 27.

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    Solve 5x + 7 = 27: x = 4 (steps and check) | WordGPT