9(4x+1)=5x-7x

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Solution for 9(4x+1)=5x-7x equation:


Simplifying
9(4x + 1) = 5x + -7x

Reorder the terms:
9(1 + 4x) = 5x + -7x
(1 * 9 + 4x * 9) = 5x + -7x
(9 + 36x) = 5x + -7x

Combine like terms: 5x + -7x = -2x
9 + 36x = -2x

Solving
9 + 36x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + 36x + 2x = -2x + 2x

Combine like terms: 36x + 2x = 38x
9 + 38x = -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 38x = 0

Add '-9' to each side of the equation.
9 + -9 + 38x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 38x = 0 + -9
38x = 0 + -9

Combine like terms: 0 + -9 = -9
38x = -9

Divide each side by '38'.
x = -0.2368421053

Simplifying
x = -0.2368421053

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