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Solve 6x + 6 = 120

The solution of 6x + 6 = 120 is x = 19.

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The lines y = 6x + 6 and y = 120 meet at x = 191416182022248090100110120130140150160x = 19y = 6x + 6y = 120
The lines y = 6x + 6 and y = 120 meet at x = 19. 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+6=1206x + 6 = 120
  2. 2

    Subtract 6 from both sides:

    6x+6−6=120−6 ⇒ 6x=1146x + 6 - 6 = 120 - 6 \ \Rightarrow\ 6x = 114
  3. 3

    Divide both sides by 6:

    6x6=1146 ⇒ x=19\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    6⋅19+6=114+6=120✓6\cdot19 + 6 = 114 + 6 = 120 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 6 = 120\ \Rightarrow\ x = 19 \]
\[ 6x + 6 = 120 \]
\[ 6x + 6 - 6 = 120 - 6 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 + 6 = 114 + 6 = 120 \checkmark \]

Trying values of x in 6x + 6 = 120

x6x + 6Equals 120?
17108no
18114no
19120yes
20126no
21132no

Questions

What is x in 6x + 6 = 120?

The solution of 6x + 6 = 120 is x = 19.

How do you solve 6x + 6 = 120?

Subtract 6 from both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) + 6 = 120, which is 120.

Similar equations

    Solve 6x + 6 = 120: x = 19 (steps and check) | WordGPT