(9x-40+4x)2=-(5x-8)9

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Solution for (9x-40+4x)2=-(5x-8)9 equation:


Simplifying
(9x + -40 + 4x) * 2 = -1(5x + -8) * 9

Reorder the terms:
(-40 + 9x + 4x) * 2 = -1(5x + -8) * 9

Combine like terms: 9x + 4x = 13x
(-40 + 13x) * 2 = -1(5x + -8) * 9

Reorder the terms for easier multiplication:
2(-40 + 13x) = -1(5x + -8) * 9
(-40 * 2 + 13x * 2) = -1(5x + -8) * 9
(-80 + 26x) = -1(5x + -8) * 9

Reorder the terms:
-80 + 26x = -1(-8 + 5x) * 9

Reorder the terms for easier multiplication:
-80 + 26x = -1 * 9(-8 + 5x)

Multiply -1 * 9
-80 + 26x = -9(-8 + 5x)
-80 + 26x = (-8 * -9 + 5x * -9)
-80 + 26x = (72 + -45x)

Solving
-80 + 26x = 72 + -45x

Solving for variable 'x'.

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

Add '45x' to each side of the equation.
-80 + 26x + 45x = 72 + -45x + 45x

Combine like terms: 26x + 45x = 71x
-80 + 71x = 72 + -45x + 45x

Combine like terms: -45x + 45x = 0
-80 + 71x = 72 + 0
-80 + 71x = 72

Add '80' to each side of the equation.
-80 + 80 + 71x = 72 + 80

Combine like terms: -80 + 80 = 0
0 + 71x = 72 + 80
71x = 72 + 80

Combine like terms: 72 + 80 = 152
71x = 152

Divide each side by '71'.
x = 2.14084507

Simplifying
x = 2.14084507

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