85x-(5+9x)*9=3x-5

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Solution for 85x-(5+9x)*9=3x-5 equation:


Simplifying
85x + -1(5 + 9x) * 9 = 3x + -5

Reorder the terms for easier multiplication:
85x + -1 * 9(5 + 9x) = 3x + -5

Multiply -1 * 9
85x + -9(5 + 9x) = 3x + -5
85x + (5 * -9 + 9x * -9) = 3x + -5
85x + (-45 + -81x) = 3x + -5

Reorder the terms:
-45 + 85x + -81x = 3x + -5

Combine like terms: 85x + -81x = 4x
-45 + 4x = 3x + -5

Reorder the terms:
-45 + 4x = -5 + 3x

Solving
-45 + 4x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-45 + 4x + -3x = -5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-45 + 1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-45 + 1x = -5 + 0
-45 + 1x = -5

Add '45' to each side of the equation.
-45 + 45 + 1x = -5 + 45

Combine like terms: -45 + 45 = 0
0 + 1x = -5 + 45
1x = -5 + 45

Combine like terms: -5 + 45 = 40
1x = 40

Divide each side by '1'.
x = 40

Simplifying
x = 40

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