8-(4x+7)=5(x+6) ( I think the 7 might be m idk)

Question

8-(4x+7)=5(x+6) ( I think the 7 might be m idk)

in progress 0
1 year 2021-07-24T02:36:12+00:00 2 Answers 9 views 0

its 3 🙂

Step-by-step explanation:

Simplifying

8 + -1(4x + 7) = 5(x + 6) + -2

Reorder the terms:

8 + -1(7 + 4x) = 5(x + 6) + -2

8 + (7 * -1 + 4x * -1) = 5(x + 6) + -2

8 + (-7 + -4x) = 5(x + 6) + -2

Combine like terms: 8 + -7 = 1

1 + -4x = 5(x + 6) + -2

Reorder the terms:

1 + -4x = 5(6 + x) + -2

1 + -4x = (6 * 5 + x * 5) + -2

1 + -4x = (30 + 5x) + -2

Reorder the terms:

1 + -4x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28

1 + -4x = 28 + 5x

Solving

1 + -4x = 28 + 5x

Solving for variable ‘x’.

Move all terms containing x to the left, all other terms to the right.

Add ‘-5x’ to each side of the equation.

1 + -4x + -5x = 28 + 5x + -5x

Combine like terms: -4x + -5x = -9x

1 + -9x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0

1 + -9x = 28 + 0

1 + -9x = 28

Add ‘-1’ to each side of the equation.

1 + -1 + -9x = 28 + -1

Combine like terms: 1 + -1 = 0

0 + -9x = 28 + -1

-9x = 28 + -1

Combine like terms: 28 + -1 = 27

-9x = 27

Divide each side by ‘-9’.

x = -3

Simplifying

x = -3

$$x=\frac{-29}{9} \\x=-3.2\\x=-3\frac{2}{9}$$