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Solve 7x + 6 = 90

The solution of 7x + 6 = 90 is x = 12.

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The lines y = 7x + 6 and y = 90 meet at x = 12681012141618406080100120140x = 12y = 7x + 6y = 90
The lines y = 7x + 6 and y = 90 meet at x = 12. 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.

    7x+6=907x + 6 = 90
  2. 2

    Subtract 6 from both sides:

    7x+6−6=90−6 ⇒ 7x=847x + 6 - 6 = 90 - 6 \ \Rightarrow\ 7x = 84
  3. 3

    Divide both sides by 7:

    7x7=847 ⇒ x=12\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    7⋅12+6=84+6=90✓7\cdot12 + 6 = 84 + 6 = 90 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 6 = 90\ \Rightarrow\ x = 12 \]
\[ 7x + 6 = 90 \]
\[ 7x + 6 - 6 = 90 - 6 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 + 6 = 84 + 6 = 90 \checkmark \]

Trying values of x in 7x + 6 = 90

x7x + 6Equals 90?
1076no
1183no
1290yes
1397no
14104no

Questions

What is x in 7x + 6 = 90?

The solution of 7x + 6 = 90 is x = 12.

How do you solve 7x + 6 = 90?

Subtract 6 from both sides to get 7x = 84, then divide both sides by 7 to get x = 12.

How do I check the answer?

Replace x by 12: 7(12) + 6 = 90, which is 90.

Similar equations

    Solve 7x + 6 = 90: x = 12 (steps and check) | WordGPT