9+4(x-3)=4[9-5(x+4)]

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Solution for 9+4(x-3)=4[9-5(x+4)] equation:


Simplifying
9 + 4(x + -3) = 4[9 + -5(x + 4)]

Reorder the terms:
9 + 4(-3 + x) = 4[9 + -5(x + 4)]
9 + (-3 * 4 + x * 4) = 4[9 + -5(x + 4)]
9 + (-12 + 4x) = 4[9 + -5(x + 4)]

Combine like terms: 9 + -12 = -3
-3 + 4x = 4[9 + -5(x + 4)]

Reorder the terms:
-3 + 4x = 4[9 + -5(4 + x)]
-3 + 4x = 4[9 + (4 * -5 + x * -5)]
-3 + 4x = 4[9 + (-20 + -5x)]

Combine like terms: 9 + -20 = -11
-3 + 4x = 4[-11 + -5x]
-3 + 4x = [-11 * 4 + -5x * 4]
-3 + 4x = [-44 + -20x]

Solving
-3 + 4x = -44 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
-3 + 4x + 20x = -44 + -20x + 20x

Combine like terms: 4x + 20x = 24x
-3 + 24x = -44 + -20x + 20x

Combine like terms: -20x + 20x = 0
-3 + 24x = -44 + 0
-3 + 24x = -44

Add '3' to each side of the equation.
-3 + 3 + 24x = -44 + 3

Combine like terms: -3 + 3 = 0
0 + 24x = -44 + 3
24x = -44 + 3

Combine like terms: -44 + 3 = -41
24x = -41

Divide each side by '24'.
x = -1.708333333

Simplifying
x = -1.708333333

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