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Solve 5x + 6 = 56

The solution of 5x + 6 = 56 is x = 10.

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The lines y = 5x + 6 and y = 56 meet at x = 10468101214162030405060708090x = 10y = 5x + 6y = 56
The lines y = 5x + 6 and y = 56 meet at x = 10. 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+6=565x + 6 = 56
  2. 2

    Subtract 6 from both sides:

    5x+6−6=56−6 ⇒ 5x=505x + 6 - 6 = 56 - 6 \ \Rightarrow\ 5x = 50
  3. 3

    Divide both sides by 5:

    5x5=505 ⇒ x=10\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    5⋅10+6=50+6=56✓5\cdot10 + 6 = 50 + 6 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 6 = 56\ \Rightarrow\ x = 10 \]
\[ 5x + 6 = 56 \]
\[ 5x + 6 - 6 = 56 - 6 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 6 = 50 + 6 = 56 \checkmark \]

Trying values of x in 5x + 6 = 56

x5x + 6Equals 56?
846no
951no
1056yes
1161no
1266no

Questions

What is x in 5x + 6 = 56?

The solution of 5x + 6 = 56 is x = 10.

How do you solve 5x + 6 = 56?

Subtract 6 from both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) + 6 = 56, which is 56.

Similar equations

    Solve 5x + 6 = 56: x = 10 (steps and check) | WordGPT