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

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


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

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

Combine like terms: 2x + -9x = -7x
2 + 8x = -7x

Solving
2 + 8x = -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.
2 + 8x + 7x = -7x + 7x

Combine like terms: 8x + 7x = 15x
2 + 15x = -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 15x = 0

Add '-2' to each side of the equation.
2 + -2 + 15x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = 0 + -2
15x = 0 + -2

Combine like terms: 0 + -2 = -2
15x = -2

Divide each side by '15'.
x = -0.1333333333

Simplifying
x = -0.1333333333

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