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Solve 5x + 1 = 56

The solution of 5x + 1 = 56 is x = 11.

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The lines y = 5x + 1 and y = 56 meet at x = 1168101214162030405060708090x = 11y = 5x + 1y = 56
The lines y = 5x + 1 and y = 56 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.

    5x+1=565x + 1 = 56
  2. 2

    Subtract 1 from both sides:

    5x+1−1=56−1 ⇒ 5x=555x + 1 - 1 = 56 - 1 \ \Rightarrow\ 5x = 55
  3. 3

    Divide both sides by 5:

    5x5=555 ⇒ x=11\frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    5⋅11+1=55+1=56✓5\cdot11 + 1 = 55 + 1 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 56\ \Rightarrow\ x = 11 \]
\[ 5x + 1 = 56 \]
\[ 5x + 1 - 1 = 56 - 1 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 1 = 55 + 1 = 56 \checkmark \]

Trying values of x in 5x + 1 = 56

x5x + 1Equals 56?
946no
1051no
1156yes
1261no
1366no

Questions

What is x in 5x + 1 = 56?

The solution of 5x + 1 = 56 is x = 11.

How do you solve 5x + 1 = 56?

Subtract 1 from both sides to get 5x = 55, then divide both sides by 5 to get x = 11.

How do I check the answer?

Replace x by 11: 5(11) + 1 = 56, which is 56.

Similar equations

    Solve 5x + 1 = 56: x = 11 (steps and check) | WordGPT