4x-6-5(3x-1)=5x-2-(9x+20)

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Solution for 4x-6-5(3x-1)=5x-2-(9x+20) equation:


Simplifying
4x + -6 + -5(3x + -1) = 5x + -2 + -1(9x + 20)

Reorder the terms:
4x + -6 + -5(-1 + 3x) = 5x + -2 + -1(9x + 20)
4x + -6 + (-1 * -5 + 3x * -5) = 5x + -2 + -1(9x + 20)
4x + -6 + (5 + -15x) = 5x + -2 + -1(9x + 20)

Reorder the terms:
-6 + 5 + 4x + -15x = 5x + -2 + -1(9x + 20)

Combine like terms: -6 + 5 = -1
-1 + 4x + -15x = 5x + -2 + -1(9x + 20)

Combine like terms: 4x + -15x = -11x
-1 + -11x = 5x + -2 + -1(9x + 20)

Reorder the terms:
-1 + -11x = 5x + -2 + -1(20 + 9x)
-1 + -11x = 5x + -2 + (20 * -1 + 9x * -1)
-1 + -11x = 5x + -2 + (-20 + -9x)

Reorder the terms:
-1 + -11x = -2 + -20 + 5x + -9x

Combine like terms: -2 + -20 = -22
-1 + -11x = -22 + 5x + -9x

Combine like terms: 5x + -9x = -4x
-1 + -11x = -22 + -4x

Solving
-1 + -11x = -22 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + -11x + 4x = -22 + -4x + 4x

Combine like terms: -11x + 4x = -7x
-1 + -7x = -22 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + -7x = -22 + 0
-1 + -7x = -22

Add '1' to each side of the equation.
-1 + 1 + -7x = -22 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -22 + 1
-7x = -22 + 1

Combine like terms: -22 + 1 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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