4(-3x+2)=-8(5x-4)+9

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Solution for 4(-3x+2)=-8(5x-4)+9 equation:


Simplifying
4(-3x + 2) = -8(5x + -4) + 9

Reorder the terms:
4(2 + -3x) = -8(5x + -4) + 9
(2 * 4 + -3x * 4) = -8(5x + -4) + 9
(8 + -12x) = -8(5x + -4) + 9

Reorder the terms:
8 + -12x = -8(-4 + 5x) + 9
8 + -12x = (-4 * -8 + 5x * -8) + 9
8 + -12x = (32 + -40x) + 9

Reorder the terms:
8 + -12x = 32 + 9 + -40x

Combine like terms: 32 + 9 = 41
8 + -12x = 41 + -40x

Solving
8 + -12x = 41 + -40x

Solving for variable 'x'.

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

Add '40x' to each side of the equation.
8 + -12x + 40x = 41 + -40x + 40x

Combine like terms: -12x + 40x = 28x
8 + 28x = 41 + -40x + 40x

Combine like terms: -40x + 40x = 0
8 + 28x = 41 + 0
8 + 28x = 41

Add '-8' to each side of the equation.
8 + -8 + 28x = 41 + -8

Combine like terms: 8 + -8 = 0
0 + 28x = 41 + -8
28x = 41 + -8

Combine like terms: 41 + -8 = 33
28x = 33

Divide each side by '28'.
x = 1.178571429

Simplifying
x = 1.178571429

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