5-3(9x+1)-(5x-1)=7x-2(3x-5)

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Solution for 5-3(9x+1)-(5x-1)=7x-2(3x-5) equation: 


Simplifying
5 + -3(9x + 1) + -1(5x + -1) = 7x + -2(3x + -5)

Reorder the terms:
5 + -3(1 + 9x) + -1(5x + -1) = 7x + -2(3x + -5)
5 + (1 * -3 + 9x * -3) + -1(5x + -1) = 7x + -2(3x + -5)
5 + (-3 + -27x) + -1(5x + -1) = 7x + -2(3x + -5)

Reorder the terms:
5 + -3 + -27x + -1(-1 + 5x) = 7x + -2(3x + -5)
5 + -3 + -27x + (-1 * -1 + 5x * -1) = 7x + -2(3x + -5)
5 + -3 + -27x + (1 + -5x) = 7x + -2(3x + -5)

Reorder the terms:
5 + -3 + 1 + -27x + -5x = 7x + -2(3x + -5)

Combine like terms: 5 + -3 = 2
2 + 1 + -27x + -5x = 7x + -2(3x + -5)

Combine like terms: 2 + 1 = 3
3 + -27x + -5x = 7x + -2(3x + -5)

Combine like terms: -27x + -5x = -32x
3 + -32x = 7x + -2(3x + -5)

Reorder the terms:
3 + -32x = 7x + -2(-5 + 3x)
3 + -32x = 7x + (-5 * -2 + 3x * -2)
3 + -32x = 7x + (10 + -6x)

Reorder the terms:
3 + -32x = 10 + 7x + -6x

Combine like terms: 7x + -6x = 1x
3 + -32x = 10 + 1x

Solving
3 + -32x = 10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + -32x + -1x = 10 + 1x + -1x

Combine like terms: -32x + -1x = -33x
3 + -33x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + -33x = 10 + 0
3 + -33x = 10

Add '-3' to each side of the equation.
3 + -3 + -33x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -33x = 10 + -3
-33x = 10 + -3

Combine like terms: 10 + -3 = 7
-33x = 7

Divide each side by '-33'.
x = -0.2121212121

Simplifying
x = -0.2121212121

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