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Solve 6x + 7 = 55

The solution of 6x + 7 = 55 is x = 8.

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The lines y = 6x + 7 and y = 55 meet at x = 824681012142030405060708090x = 8y = 6x + 7y = 55
The lines y = 6x + 7 and y = 55 meet at x = 8. 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.

    6x+7=556x + 7 = 55
  2. 2

    Subtract 7 from both sides:

    6x+7−7=55−7 ⇒ 6x=486x + 7 - 7 = 55 - 7 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486 ⇒ x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6⋅8+7=48+7=55✓6\cdot8 + 7 = 48 + 7 = 55 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 7 = 55\ \Rightarrow\ x = 8 \]
\[ 6x + 7 = 55 \]
\[ 6x + 7 - 7 = 55 - 7 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 7 = 48 + 7 = 55 \checkmark \]

Trying values of x in 6x + 7 = 55

x6x + 7Equals 55?
643no
749no
855yes
961no
1067no

Questions

What is x in 6x + 7 = 55?

The solution of 6x + 7 = 55 is x = 8.

How do you solve 6x + 7 = 55?

Subtract 7 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 7 = 55, which is 55.

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    Solve 6x + 7 = 55: x = 8 (steps and check) | WordGPT