Question

-4 (2x+9) + 3x = 6 - 4 (x-3)

Answer 1

-4 (2x+9) + 3x = 6 - 4 (x-3)

Simplifying

-4(2x + 9) + 3x = 6 + -4(x + -3)

Reorder the terms:

-4(9 + 2x) + 3x = 6 + -4(x + -3)

(9 * -4 + 2x * -4) + 3x = 6 + -4(x + -3)

(-36 + -8x) + 3x = 6 + -4(x + -3)

Combine like terms: -8x + 3x = -5x

-36 + -5x = 6 + -4(x + -3)

Reorder the terms:

-36 + -5x = 6 + -4(-3 + x)

-36 + -5x = 6 + (-3 * -4 + x * -4)

-36 + -5x = 6 + (12 + -4x)

Combine like terms: 6 + 12 = 18

-36 + -5x = 18 + -4x

Solving

-36 + -5x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.

-36 + -5x + 4x = 18 + -4x + 4x

Combine like terms: -5x + 4x = -1x

-36 + -1x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0

-36 + -1x = 18 + 0

-36 + -1x = 18

Add '36' to each side of the equation.

-36 + 36 + -1x = 18 + 36

Combine like terms: -36 + 36 = 0

0 + -1x = 18 + 36

-1x = 18 + 36

Combine like terms: 18 + 36 = 54

-1x = 54

Divide each side by '-1'.

x = -54

Simplifying

x = -54

Answer 2

x=-54

Explanation:

-4(2x+9)+3x=6-4(x-3)

Reorder the terms in parentheses

+(-8x-36)+3x=6-4*(x-3)

Remove unnecessary parentheses

-8x-36+3x=+6-4+*(+x-3+)

Reorder the terms in parentheses

-8x-36+3x=6+(-4x+12)

Remove unnecessary parentheses

-8x-36+3x=+6-4x+12

move all terms containing x to the left and all other terms to the right.

-8x+3x+4x=+6+12+36

simplify left and right side of the equation.

-1x=+54

finally, divide both sides of the equation by -1 to get x.

x=-54