2(-6x+8)+4(5x-9)=28

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Solution for 2(-6x+8)+4(5x-9)=28 equation: 


Simplifying
2(-6x + 8) + 4(5x + -9) = 28

Reorder the terms:
2(8 + -6x) + 4(5x + -9) = 28
(8 * 2 + -6x * 2) + 4(5x + -9) = 28
(16 + -12x) + 4(5x + -9) = 28

Reorder the terms:
16 + -12x + 4(-9 + 5x) = 28
16 + -12x + (-9 * 4 + 5x * 4) = 28
16 + -12x + (-36 + 20x) = 28

Reorder the terms:
16 + -36 + -12x + 20x = 28

Combine like terms: 16 + -36 = -20
-20 + -12x + 20x = 28

Combine like terms: -12x + 20x = 8x
-20 + 8x = 28

Solving
-20 + 8x = 28

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 8x = 28 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 28 + 20
8x = 28 + 20

Combine like terms: 28 + 20 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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