4(4x+1)=5x-9x

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Solution for 4(4x+1)=5x-9x equation:


Simplifying
4(4x + 1) = 5x + -9x

Reorder the terms:
4(1 + 4x) = 5x + -9x
(1 * 4 + 4x * 4) = 5x + -9x
(4 + 16x) = 5x + -9x

Combine like terms: 5x + -9x = -4x
4 + 16x = -4x

Solving
4 + 16x = -4x

Solving for variable 'x'.

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

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

Combine like terms: 16x + 4x = 20x
4 + 20x = -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 20x = 0

Add '-4' to each side of the equation.
4 + -4 + 20x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 20x = 0 + -4
20x = 0 + -4

Combine like terms: 0 + -4 = -4
20x = -4

Divide each side by '20'.
x = -0.2

Simplifying
x = -0.2

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