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Solve 7x + 3 = 101

The solution of 7x + 3 = 101 is x = 14.

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The lines y = 7x + 3 and y = 101 meet at x = 1481012141618206080100120140x = 14y = 7x + 3y = 101
The lines y = 7x + 3 and y = 101 meet at x = 14. 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+3=1017x + 3 = 101
  2. 2

    Subtract 3 from both sides:

    7x+3−3=101−3 ⇒ 7x=987x + 3 - 3 = 101 - 3 \ \Rightarrow\ 7x = 98
  3. 3

    Divide both sides by 7:

    7x7=987 ⇒ x=14\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    7⋅14+3=98+3=101✓7\cdot14 + 3 = 98 + 3 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 101\ \Rightarrow\ x = 14 \]
\[ 7x + 3 = 101 \]
\[ 7x + 3 - 3 = 101 - 3 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 3 = 98 + 3 = 101 \checkmark \]

Trying values of x in 7x + 3 = 101

x7x + 3Equals 101?
1287no
1394no
14101yes
15108no
16115no

Questions

What is x in 7x + 3 = 101?

The solution of 7x + 3 = 101 is x = 14.

How do you solve 7x + 3 = 101?

Subtract 3 from both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) + 3 = 101, which is 101.

Similar equations

    Solve 7x + 3 = 101: x = 14 (steps and check) | WordGPT