Question

Charlie used these steps to solve the equation 6x+5=1+2(3x+2). Which choice describes the meaning of his result, 5=5?

Answer 1

Answer:

Option A is correct

All values of x make the equation true.

Step-by-step explanation:

Given an equation: $6x+5=1+2(3x+2)$  

Apply the distributive property to the Right side of the equation

A number is multiplied to the sum of the two numbers, i.e, $a\cdot(b+c)=a\cdot b+a \cdot c$

then,

$6x+5=1+2\cdot(3x)+2\cdot 2$ or

$6x+5=1+6x+4$

Subtraction property of equality: Subtract the same number from both sides of an equation.

Subtract 6x from both sides:

$6x+5-6x=1+6x+4-6x$    

Simplify:

$5=1+4$ or

$5=5$   ;

hence the result is true for all values of x.