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Solve 5x + 2 = 57

The solution of 5x + 2 = 57 is x = 11.

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The lines y = 5x + 2 and y = 57 meet at x = 11681012141630405060708090x = 11y = 5x + 2y = 57
The lines y = 5x + 2 and y = 57 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+2=575x + 2 = 57
  2. 2

    Subtract 2 from both sides:

    5x+2−2=57−2 ⇒ 5x=555x + 2 - 2 = 57 - 2 \ \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+2=55+2=57✓5\cdot11 + 2 = 55 + 2 = 57 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 2 = 57\ \Rightarrow\ x = 11 \]
\[ 5x + 2 = 57 \]
\[ 5x + 2 - 2 = 57 - 2 \ \Rightarrow\ 5x = 55 \]
\[ \frac{5x}{5} = \frac{55}{5} \ \Rightarrow\ x = 11 \]
\[ 5\cdot11 + 2 = 55 + 2 = 57 \checkmark \]

Trying values of x in 5x + 2 = 57

x5x + 2Equals 57?
947no
1052no
1157yes
1262no
1367no

Questions

What is x in 5x + 2 = 57?

The solution of 5x + 2 = 57 is x = 11.

How do you solve 5x + 2 = 57?

Subtract 2 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) + 2 = 57, which is 57.

Similar equations

    Solve 5x + 2 = 57: x = 11 (steps and check) | WordGPT