8(9x-4)-3x=-5(x-5)+75X

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Solution for 8(9x-4)-3x=-5(x-5)+75X equation:


Simplifying
8(9x + -4) + -3x = -5(x + -5) + 75X

Reorder the terms:
8(-4 + 9x) + -3x = -5(x + -5) + 75X
(-4 * 8 + 9x * 8) + -3x = -5(x + -5) + 75X
(-32 + 72x) + -3x = -5(x + -5) + 75X

Combine like terms: 72x + -3x = 69x
-32 + 69x = -5(x + -5) + 75X

Reorder the terms:
-32 + 69x = -5(-5 + x) + 75X
-32 + 69x = (-5 * -5 + x * -5) + 75X
-32 + 69x = (25 + -5x) + 75X

Reorder the terms:
-32 + 69x = 25 + 75X + -5x

Solving
-32 + 69x = 25 + 75X + -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.
-32 + 69x + 5x = 25 + 75X + -5x + 5x

Combine like terms: 69x + 5x = 74x
-32 + 74x = 25 + 75X + -5x + 5x

Combine like terms: -5x + 5x = 0
-32 + 74x = 25 + 75X + 0
-32 + 74x = 25 + 75X

Add '32' to each side of the equation.
-32 + 32 + 74x = 25 + 32 + 75X

Combine like terms: -32 + 32 = 0
0 + 74x = 25 + 32 + 75X
74x = 25 + 32 + 75X

Combine like terms: 25 + 32 = 57
74x = 57 + 75X

Divide each side by '74'.
x = 0.7702702703 + 1.013513514X

Simplifying
x = 0.7702702703 + 1.013513514X

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