20(3-x)+3(4-10x)-52=8(6-8x)

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Solution for 20(3-x)+3(4-10x)-52=8(6-8x) equation:


Simplifying
20(3 + -1x) + 3(4 + -10x) + -52 = 8(6 + -8x)
(3 * 20 + -1x * 20) + 3(4 + -10x) + -52 = 8(6 + -8x)
(60 + -20x) + 3(4 + -10x) + -52 = 8(6 + -8x)
60 + -20x + (4 * 3 + -10x * 3) + -52 = 8(6 + -8x)
60 + -20x + (12 + -30x) + -52 = 8(6 + -8x)

Reorder the terms:
60 + 12 + -52 + -20x + -30x = 8(6 + -8x)

Combine like terms: 60 + 12 = 72
72 + -52 + -20x + -30x = 8(6 + -8x)

Combine like terms: 72 + -52 = 20
20 + -20x + -30x = 8(6 + -8x)

Combine like terms: -20x + -30x = -50x
20 + -50x = 8(6 + -8x)
20 + -50x = (6 * 8 + -8x * 8)
20 + -50x = (48 + -64x)

Solving
20 + -50x = 48 + -64x

Solving for variable 'x'.

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

Add '64x' to each side of the equation.
20 + -50x + 64x = 48 + -64x + 64x

Combine like terms: -50x + 64x = 14x
20 + 14x = 48 + -64x + 64x

Combine like terms: -64x + 64x = 0
20 + 14x = 48 + 0
20 + 14x = 48

Add '-20' to each side of the equation.
20 + -20 + 14x = 48 + -20

Combine like terms: 20 + -20 = 0
0 + 14x = 48 + -20
14x = 48 + -20

Combine like terms: 48 + -20 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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