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

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


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

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

Reorder the terms:
4 + 16x = -5(-1 + 2x) + -3x
4 + 16x = (-1 * -5 + 2x * -5) + -3x
4 + 16x = (5 + -10x) + -3x

Combine like terms: -10x + -3x = -13x
4 + 16x = 5 + -13x

Solving
4 + 16x = 5 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
4 + 16x + 13x = 5 + -13x + 13x

Combine like terms: 16x + 13x = 29x
4 + 29x = 5 + -13x + 13x

Combine like terms: -13x + 13x = 0
4 + 29x = 5 + 0
4 + 29x = 5

Add '-4' to each side of the equation.
4 + -4 + 29x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 29x = 5 + -4
29x = 5 + -4

Combine like terms: 5 + -4 = 1
29x = 1

Divide each side by '29'.
x = 0.03448275862

Simplifying
x = 0.03448275862

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