6-3(2x-1)+21=5(x-2)

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Solution for 6-3(2x-1)+21=5(x-2) equation: 


Simplifying
6 + -3(2x + -1) + 21 = 5(x + -2)

Reorder the terms:
6 + -3(-1 + 2x) + 21 = 5(x + -2)
6 + (-1 * -3 + 2x * -3) + 21 = 5(x + -2)
6 + (3 + -6x) + 21 = 5(x + -2)

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

Combine like terms: 6 + 3 = 9
9 + 21 + -6x = 5(x + -2)

Combine like terms: 9 + 21 = 30
30 + -6x = 5(x + -2)

Reorder the terms:
30 + -6x = 5(-2 + x)
30 + -6x = (-2 * 5 + x * 5)
30 + -6x = (-10 + 5x)

Solving
30 + -6x = -10 + 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.
30 + -6x + -5x = -10 + 5x + -5x

Combine like terms: -6x + -5x = -11x
30 + -11x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -11x = -10 + 0
30 + -11x = -10

Add '-30' to each side of the equation.
30 + -30 + -11x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -11x = -10 + -30
-11x = -10 + -30

Combine like terms: -10 + -30 = -40
-11x = -40

Divide each side by '-11'.
x = 3.636363636

Simplifying
x = 3.636363636

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