30-9x=-5(6x+4)-5(-8-4x)

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Solution for 30-9x=-5(6x+4)-5(-8-4x) equation:


Simplifying
30 + -9x = -5(6x + 4) + -5(-8 + -4x)

Reorder the terms:
30 + -9x = -5(4 + 6x) + -5(-8 + -4x)
30 + -9x = (4 * -5 + 6x * -5) + -5(-8 + -4x)
30 + -9x = (-20 + -30x) + -5(-8 + -4x)
30 + -9x = -20 + -30x + (-8 * -5 + -4x * -5)
30 + -9x = -20 + -30x + (40 + 20x)

Reorder the terms:
30 + -9x = -20 + 40 + -30x + 20x

Combine like terms: -20 + 40 = 20
30 + -9x = 20 + -30x + 20x

Combine like terms: -30x + 20x = -10x
30 + -9x = 20 + -10x

Solving
30 + -9x = 20 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
30 + -9x + 10x = 20 + -10x + 10x

Combine like terms: -9x + 10x = 1x
30 + 1x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
30 + 1x = 20 + 0
30 + 1x = 20

Add '-30' to each side of the equation.
30 + -30 + 1x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = 20 + -30
1x = 20 + -30

Combine like terms: 20 + -30 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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