2*((3x+8)*4-8*(6+10x))+179x-(3x-20)=0

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Solution for 2*((3x+8)*4-8*(6+10x))+179x-(3x-20)=0 equation: 


Simplifying
2((3x + 8) * 4 + -8(6 + 10x)) + 179x + -1(3x + -20) = 0

Reorder the terms:
2((8 + 3x) * 4 + -8(6 + 10x)) + 179x + -1(3x + -20) = 0

Reorder the terms for easier multiplication:
2(4(8 + 3x) + -8(6 + 10x)) + 179x + -1(3x + -20) = 0
2((8 * 4 + 3x * 4) + -8(6 + 10x)) + 179x + -1(3x + -20) = 0
2((32 + 12x) + -8(6 + 10x)) + 179x + -1(3x + -20) = 0
2(32 + 12x + (6 * -8 + 10x * -8)) + 179x + -1(3x + -20) = 0
2(32 + 12x + (-48 + -80x)) + 179x + -1(3x + -20) = 0

Reorder the terms:
2(32 + -48 + 12x + -80x) + 179x + -1(3x + -20) = 0

Combine like terms: 32 + -48 = -16
2(-16 + 12x + -80x) + 179x + -1(3x + -20) = 0

Combine like terms: 12x + -80x = -68x
2(-16 + -68x) + 179x + -1(3x + -20) = 0
(-16 * 2 + -68x * 2) + 179x + -1(3x + -20) = 0
(-32 + -136x) + 179x + -1(3x + -20) = 0

Reorder the terms:
-32 + -136x + 179x + -1(-20 + 3x) = 0
-32 + -136x + 179x + (-20 * -1 + 3x * -1) = 0
-32 + -136x + 179x + (20 + -3x) = 0

Reorder the terms:
-32 + 20 + -136x + 179x + -3x = 0

Combine like terms: -32 + 20 = -12
-12 + -136x + 179x + -3x = 0

Combine like terms: -136x + 179x = 43x
-12 + 43x + -3x = 0

Combine like terms: 43x + -3x = 40x
-12 + 40x = 0

Solving
-12 + 40x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 40x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 40x = 0 + 12
40x = 0 + 12

Combine like terms: 0 + 12 = 12
40x = 12

Divide each side by '40'.
x = 0.3

Simplifying
x = 0.3

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