4(5x-6)-3(6x-9)-21=6x-4(3x-3)

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Solution for 4(5x-6)-3(6x-9)-21=6x-4(3x-3) equation:


Simplifying
4(5x + -6) + -3(6x + -9) + -21 = 6x + -4(3x + -3)

Reorder the terms:
4(-6 + 5x) + -3(6x + -9) + -21 = 6x + -4(3x + -3)
(-6 * 4 + 5x * 4) + -3(6x + -9) + -21 = 6x + -4(3x + -3)
(-24 + 20x) + -3(6x + -9) + -21 = 6x + -4(3x + -3)

Reorder the terms:
-24 + 20x + -3(-9 + 6x) + -21 = 6x + -4(3x + -3)
-24 + 20x + (-9 * -3 + 6x * -3) + -21 = 6x + -4(3x + -3)
-24 + 20x + (27 + -18x) + -21 = 6x + -4(3x + -3)

Reorder the terms:
-24 + 27 + -21 + 20x + -18x = 6x + -4(3x + -3)

Combine like terms: -24 + 27 = 3
3 + -21 + 20x + -18x = 6x + -4(3x + -3)

Combine like terms: 3 + -21 = -18
-18 + 20x + -18x = 6x + -4(3x + -3)

Combine like terms: 20x + -18x = 2x
-18 + 2x = 6x + -4(3x + -3)

Reorder the terms:
-18 + 2x = 6x + -4(-3 + 3x)
-18 + 2x = 6x + (-3 * -4 + 3x * -4)
-18 + 2x = 6x + (12 + -12x)

Reorder the terms:
-18 + 2x = 12 + 6x + -12x

Combine like terms: 6x + -12x = -6x
-18 + 2x = 12 + -6x

Solving
-18 + 2x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-18 + 2x + 6x = 12 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-18 + 8x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 8x = 12 + 0
-18 + 8x = 12

Add '18' to each side of the equation.
-18 + 18 + 8x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 12 + 18
8x = 12 + 18

Combine like terms: 12 + 18 = 30
8x = 30

Divide each side by '8'.
x = 3.75

Simplifying
x = 3.75

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