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

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


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

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

Reorder the terms:
30 + -8x = -20 + -3x + 5x

Combine like terms: -3x + 5x = 2x
30 + -8x = -20 + 2x

Solving
30 + -8x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + -8x + -2x = -20 + 2x + -2x

Combine like terms: -8x + -2x = -10x
30 + -10x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -10x = -20 + 0
30 + -10x = -20

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

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

Combine like terms: -20 + -30 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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