9(4x+1)=4x-8x

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Solution for 9(4x+1)=4x-8x equation:


Simplifying
9(4x + 1) = 4x + -8x

Reorder the terms:
9(1 + 4x) = 4x + -8x
(1 * 9 + 4x * 9) = 4x + -8x
(9 + 36x) = 4x + -8x

Combine like terms: 4x + -8x = -4x
9 + 36x = -4x

Solving
9 + 36x = -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.
9 + 36x + 4x = -4x + 4x

Combine like terms: 36x + 4x = 40x
9 + 40x = -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 40x = 0

Add '-9' to each side of the equation.
9 + -9 + 40x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 40x = 0 + -9
40x = 0 + -9

Combine like terms: 0 + -9 = -9
40x = -9

Divide each side by '40'.
x = -0.225

Simplifying
x = -0.225

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