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

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


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

Reorder the terms:
8 + 4(4 + -9x) = 2(6x + 4) + 6
8 + (4 * 4 + -9x * 4) = 2(6x + 4) + 6
8 + (16 + -36x) = 2(6x + 4) + 6

Combine like terms: 8 + 16 = 24
24 + -36x = 2(6x + 4) + 6

Reorder the terms:
24 + -36x = 2(4 + 6x) + 6
24 + -36x = (4 * 2 + 6x * 2) + 6
24 + -36x = (8 + 12x) + 6

Reorder the terms:
24 + -36x = 8 + 6 + 12x

Combine like terms: 8 + 6 = 14
24 + -36x = 14 + 12x

Solving
24 + -36x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
24 + -36x + -12x = 14 + 12x + -12x

Combine like terms: -36x + -12x = -48x
24 + -48x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -48x = 14 + 0
24 + -48x = 14

Add '-24' to each side of the equation.
24 + -24 + -48x = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -48x = 14 + -24
-48x = 14 + -24

Combine like terms: 14 + -24 = -10
-48x = -10

Divide each side by '-48'.
x = 0.2083333333

Simplifying
x = 0.2083333333

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