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

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


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

Reorder the terms:
2(1 + 4x) = 4x + -9x
(1 * 2 + 4x * 2) = 4x + -9x
(2 + 8x) = 4x + -9x

Combine like terms: 4x + -9x = -5x
2 + 8x = -5x

Solving
2 + 8x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 8x + 5x = -5x + 5x

Combine like terms: 8x + 5x = 13x
2 + 13x = -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 13x = 0

Add '-2' to each side of the equation.
2 + -2 + 13x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = 0 + -2
13x = 0 + -2

Combine like terms: 0 + -2 = -2
13x = -2

Divide each side by '13'.
x = -0.1538461538

Simplifying
x = -0.1538461538

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