30-14x=-5(6x+4)-5(-8-3x)

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Solution for 30-14x=-5(6x+4)-5(-8-3x) equation: 


Simplifying
30 + -14x = -5(6x + 4) + -5(-8 + -3x)

Reorder the terms:
30 + -14x = -5(4 + 6x) + -5(-8 + -3x)
30 + -14x = (4 * -5 + 6x * -5) + -5(-8 + -3x)
30 + -14x = (-20 + -30x) + -5(-8 + -3x)
30 + -14x = -20 + -30x + (-8 * -5 + -3x * -5)
30 + -14x = -20 + -30x + (40 + 15x)

Reorder the terms:
30 + -14x = -20 + 40 + -30x + 15x

Combine like terms: -20 + 40 = 20
30 + -14x = 20 + -30x + 15x

Combine like terms: -30x + 15x = -15x
30 + -14x = 20 + -15x

Solving
30 + -14x = 20 + -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.
30 + -14x + 15x = 20 + -15x + 15x

Combine like terms: -14x + 15x = 1x
30 + 1x = 20 + -15x + 15x

Combine like terms: -15x + 15x = 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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