Question

Solve the following equation, explaining what you did in each step of your solution. After solving the equation, show the steps to check your solution.

3x+2(4+6x)=133 Writer

Answer 1

Solve 3x + 2(4 + 6x) = 133

1) Remove the parentheses by distributing 2 over (4 + 6x):
3x + 2·4 + 2·6x = 133
3x + 8 + 12x = 133

2) Combine like terms (3x + 12x):
15x + 8 = 133

3) Isolate the x-term by subtracting 8 from both sides:
15x = 133 − 8
15x = 125

4) Solve for x by dividing both sides by 15:
x = 125 / 15 = 25 / 3 (≈ 8.333...)

Check the solution by substituting x = 25/3 back into the original equation:

Left side: 3x + 2(4 + 6x)
= 3(25/3) + 2(4 + 6·25/3)
= 25 + 2(4 + 150/3)
= 25 + 2(4 + 50)
= 25 + 2·54
= 25 + 108
= 133

Right side: 133

Since both sides equal 133, x = 25/3 is correct.