4(4x+1)=-3(2x-2)-5x

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Solution for 4(4x+1)=-3(2x-2)-5x equation:


Simplifying
4(4x + 1) = -3(2x + -2) + -5x

Reorder the terms:
4(1 + 4x) = -3(2x + -2) + -5x
(1 * 4 + 4x * 4) = -3(2x + -2) + -5x
(4 + 16x) = -3(2x + -2) + -5x

Reorder the terms:
4 + 16x = -3(-2 + 2x) + -5x
4 + 16x = (-2 * -3 + 2x * -3) + -5x
4 + 16x = (6 + -6x) + -5x

Combine like terms: -6x + -5x = -11x
4 + 16x = 6 + -11x

Solving
4 + 16x = 6 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
4 + 16x + 11x = 6 + -11x + 11x

Combine like terms: 16x + 11x = 27x
4 + 27x = 6 + -11x + 11x

Combine like terms: -11x + 11x = 0
4 + 27x = 6 + 0
4 + 27x = 6

Add '-4' to each side of the equation.
4 + -4 + 27x = 6 + -4

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

Combine like terms: 6 + -4 = 2
27x = 2

Divide each side by '27'.
x = 0.07407407407

Simplifying
x = 0.07407407407

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