Answer to Question #135047 in Algebra for Nade

Question

3(2x + 11) = 9 Reason for each step

6x + 33 = 9 Reason for each step

6x=-24 reason for each step

X=-4 reason for each step


44 - 2(3x + 4) = -18x Reason for each step


44 - 6x - 8 = -18x Reason for each step

-6x + 36 = -18x Reason for each step

36 = -12x Reason for each step


-3 = x Reason for each step

Answer 1

1.

Simplifying

$3(2x + 11) = 9$

Reorder the terms:

$3(11 + 2x) = 9$

$(11 * 3 + 2x * 3) = 9$

$(33 + 6x) = 9$

Solving

$33 + 6x = 9$

Solving for variable 'x'.

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

Add '-33' to each side of the equation.

$33 +( -33) + 6x = 9 + (-33)$

Combine like terms: $33 + (-33) = 0$

$0 + 6x = 9 +(-33)$

$6x = 9 +( -33)$

Combine like terms: $9 + (-33) = -24$

Divide each side by '6'.

$6x = -24$

Simplifying

$x = -4$

2.

Simplifying

$44 + (-2)(3x + 4) = -18x$

Reorder the terms:

$44 + (-2)(4 + 3x) = -18x$

$44 + (4 *( -2) + 3x *(-2)) = -18x$

$44 + (-8 + (-6x)) = -18x$

Combine like terms: $44 +( -8) = 36$

$36 +( -6)x = -18x$

Solving

$36 +( -6)x = -18x$

Solving for variable 'x'.

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

Add '18x' to each side of the equation.

$36 + (-6)x + 18x = -18x + 18x$

Combine like terms:$-6x + 18x = 12x$

$36 + 12x = -18x + 18x$

Combine like terms: $-18x + 18x = 0$

$36 + 12x = 0$

Add '-36' to each side of the equation.

$36 + (-36) + 12x = 0 +(-36)$

Combine like terms: $36 + (-36) = 0$

$0 + 12x = 0 +(-36)$

$12x = 0 + (-36)$

Combine like terms:$0 + (-36) = -36$

$12x = -36$

Divide each side by '12'.

$x = -3$

Simplifying

$x = -3$