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

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


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

Reorder the terms:
4(1 + 4x) = 3x + -4(6x + -1x) + 8
(1 * 4 + 4x * 4) = 3x + -4(6x + -1x) + 8
(4 + 16x) = 3x + -4(6x + -1x) + 8

Combine like terms: 6x + -1x = 5x
4 + 16x = 3x + -4(5x) + 8

Remove parenthesis around (5x)
4 + 16x = 3x + -4 * 5x + 8

Multiply -4 * 5
4 + 16x = 3x + -20x + 8

Reorder the terms:
4 + 16x = 8 + 3x + -20x

Combine like terms: 3x + -20x = -17x
4 + 16x = 8 + -17x

Solving
4 + 16x = 8 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
4 + 16x + 17x = 8 + -17x + 17x

Combine like terms: 16x + 17x = 33x
4 + 33x = 8 + -17x + 17x

Combine like terms: -17x + 17x = 0
4 + 33x = 8 + 0
4 + 33x = 8

Add '-4' to each side of the equation.
4 + -4 + 33x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 33x = 8 + -4
33x = 8 + -4

Combine like terms: 8 + -4 = 4
33x = 4

Divide each side by '33'.
x = 0.1212121212

Simplifying
x = 0.1212121212

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