Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:

whats her steps?

Step-by-step explanation:

x=16

The Steps to solving this equation:

3(x+4)+2=2+5(x-4)

multiply numbers in parenthesis by 3

multiply the other numbers in parenthesis by 5

3x+12+2=2+5x-20

subtract 2 to 2

3x+12=5x-20

move terms

3x-5x=-20-12

subtract 3x to 5x, and subtract -20 to -12 but since there both negatives the equation is addition.

-2x=-32

divide Both sides by -2

x=16

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.