3(7x-1)=6-4x+6-(2x+8)

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Solution for 3(7x-1)=6-4x+6-(2x+8) equation:


Simplifying
3(7x + -1) = 6 + -4x + 6 + -1(2x + 8)

Reorder the terms:
3(-1 + 7x) = 6 + -4x + 6 + -1(2x + 8)
(-1 * 3 + 7x * 3) = 6 + -4x + 6 + -1(2x + 8)
(-3 + 21x) = 6 + -4x + 6 + -1(2x + 8)

Reorder the terms:
-3 + 21x = 6 + -4x + 6 + -1(8 + 2x)
-3 + 21x = 6 + -4x + 6 + (8 * -1 + 2x * -1)
-3 + 21x = 6 + -4x + 6 + (-8 + -2x)

Reorder the terms:
-3 + 21x = 6 + 6 + -8 + -4x + -2x

Combine like terms: 6 + 6 = 12
-3 + 21x = 12 + -8 + -4x + -2x

Combine like terms: 12 + -8 = 4
-3 + 21x = 4 + -4x + -2x

Combine like terms: -4x + -2x = -6x
-3 + 21x = 4 + -6x

Solving
-3 + 21x = 4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-3 + 21x + 6x = 4 + -6x + 6x

Combine like terms: 21x + 6x = 27x
-3 + 27x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 27x = 4 + 0
-3 + 27x = 4

Add '3' to each side of the equation.
-3 + 3 + 27x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 27x = 4 + 3
27x = 4 + 3

Combine like terms: 4 + 3 = 7
27x = 7

Divide each side by '27'.
x = 0.2592592593

Simplifying
x = 0.2592592593

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