-3(2x-8)-21=-5(3x-2)+50

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Solution for -3(2x-8)-21=-5(3x-2)+50 equation:


Simplifying
-3(2x + -8) + -21 = -5(3x + -2) + 50

Reorder the terms:
-3(-8 + 2x) + -21 = -5(3x + -2) + 50
(-8 * -3 + 2x * -3) + -21 = -5(3x + -2) + 50
(24 + -6x) + -21 = -5(3x + -2) + 50

Reorder the terms:
24 + -21 + -6x = -5(3x + -2) + 50

Combine like terms: 24 + -21 = 3
3 + -6x = -5(3x + -2) + 50

Reorder the terms:
3 + -6x = -5(-2 + 3x) + 50
3 + -6x = (-2 * -5 + 3x * -5) + 50
3 + -6x = (10 + -15x) + 50

Reorder the terms:
3 + -6x = 10 + 50 + -15x

Combine like terms: 10 + 50 = 60
3 + -6x = 60 + -15x

Solving
3 + -6x = 60 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
3 + -6x + 15x = 60 + -15x + 15x

Combine like terms: -6x + 15x = 9x
3 + 9x = 60 + -15x + 15x

Combine like terms: -15x + 15x = 0
3 + 9x = 60 + 0
3 + 9x = 60

Add '-3' to each side of the equation.
3 + -3 + 9x = 60 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 60 + -3
9x = 60 + -3

Combine like terms: 60 + -3 = 57
9x = 57

Divide each side by '9'.
x = 6.333333333

Simplifying
x = 6.333333333

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