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

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


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

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

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

Combine like terms: 6 + 8 = 14
4 + 16x = 3x + -4(14 + -1x)
4 + 16x = 3x + (14 * -4 + -1x * -4)
4 + 16x = 3x + (-56 + 4x)

Reorder the terms:
4 + 16x = -56 + 3x + 4x

Combine like terms: 3x + 4x = 7x
4 + 16x = -56 + 7x

Solving
4 + 16x = -56 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 16x + -7x = -56 + 7x + -7x

Combine like terms: 16x + -7x = 9x
4 + 9x = -56 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 9x = -56 + 0
4 + 9x = -56

Add '-4' to each side of the equation.
4 + -4 + 9x = -56 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = -56 + -4
9x = -56 + -4

Combine like terms: -56 + -4 = -60
9x = -60

Divide each side by '9'.
x = -6.666666667

Simplifying
x = -6.666666667

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