4(4x+1)=5x-8x

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Solution for 4(4x+1)=5x-8x equation:


Simplifying
4(4x + 1) = 5x + -8x

Reorder the terms:
4(1 + 4x) = 5x + -8x
(1 * 4 + 4x * 4) = 5x + -8x
(4 + 16x) = 5x + -8x

Combine like terms: 5x + -8x = -3x
4 + 16x = -3x

Solving
4 + 16x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 16x + 3x = -3x + 3x

Combine like terms: 16x + 3x = 19x
4 + 19x = -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 19x = 0

Add '-4' to each side of the equation.
4 + -4 + 19x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 19x = 0 + -4
19x = 0 + -4

Combine like terms: 0 + -4 = -4
19x = -4

Divide each side by '19'.
x = -0.2105263158

Simplifying
x = -0.2105263158

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