8x-4(6-5x)=-49-(5-3x)

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Solution for 8x-4(6-5x)=-49-(5-3x) equation: 


Simplifying
8x + -4(6 + -5x) = -49 + -1(5 + -3x)
8x + (6 * -4 + -5x * -4) = -49 + -1(5 + -3x)
8x + (-24 + 20x) = -49 + -1(5 + -3x)

Reorder the terms:
-24 + 8x + 20x = -49 + -1(5 + -3x)

Combine like terms: 8x + 20x = 28x
-24 + 28x = -49 + -1(5 + -3x)
-24 + 28x = -49 + (5 * -1 + -3x * -1)
-24 + 28x = -49 + (-5 + 3x)

Combine like terms: -49 + -5 = -54
-24 + 28x = -54 + 3x

Solving
-24 + 28x = -54 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-24 + 28x + -3x = -54 + 3x + -3x

Combine like terms: 28x + -3x = 25x
-24 + 25x = -54 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 25x = -54 + 0
-24 + 25x = -54

Add '24' to each side of the equation.
-24 + 24 + 25x = -54 + 24

Combine like terms: -24 + 24 = 0
0 + 25x = -54 + 24
25x = -54 + 24

Combine like terms: -54 + 24 = -30
25x = -30

Divide each side by '25'.
x = -1.2

Simplifying
x = -1.2

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