Q:

solve the equation. -7(x+9)+72=12-8x

Accepted Solution

A:
To solve this we need to do PEMDAS

# Parenthesis

# Exponents

# Multiplication

# Division

# Addition

# Subtraction

First we need to do parenthesis so -7 x X + -7 x 9
-7(x) = -7x and -7(9) = -63

So now our problem is reduced to
-7x - 63 + 72 = 12 - 8x

Now we need to simplify the -63 and +72 into one number so 72 - 63 = 9

Our problem now is -7x + 9 = 12 - 8x

Now we need to move the constants to one side so we can subtract 9 from both sides to move it to the right side

-7x = 12 - 8x - 9

We need to simplify the 12 and -9 into 12 - 9 = 3

Now we have -7x = -8x + 3

Now we move the variables to the left to add 8x to both sides and -7 + 8 = 1

x = 3

##########

Simple work;

-7(x+9) + 72 = 12 - 8x
-7x -63 + 72 = 12 - 8x
-7x + 9 = 12 - 8x
-7x = 12 -8x - 9
-7x = -8x + 3
x = 3

Hope this helps!! Dont forget to thank my answer or mark as brainliest if it was most helpful! <3Β