4(4x+1)=2x-9x

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Solution for 4(4x+1)=2x-9x equation:


Simplifying
4(4x + 1) = 2x + -9x

Reorder the terms:
4(1 + 4x) = 2x + -9x
(1 * 4 + 4x * 4) = 2x + -9x
(4 + 16x) = 2x + -9x

Combine like terms: 2x + -9x = -7x
4 + 16x = -7x

Solving
4 + 16x = -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 = -7x + 7x

Combine like terms: 16x + 7x = 23x
4 + 23x = -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 23x = 0

Add '-4' to each side of the equation.
4 + -4 + 23x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 23x = 0 + -4
23x = 0 + -4

Combine like terms: 0 + -4 = -4
23x = -4

Divide each side by '23'.
x = -0.1739130435

Simplifying
x = -0.1739130435

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