30-(5+8x-3(x+2))=2(3x-6)-(7(x-1)-4x+4)

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Solution for 30-(5+8x-3(x+2))=2(3x-6)-(7(x-1)-4x+4) equation:


Simplifying
30 + -1(5 + 8x + -3(x + 2)) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)

Reorder the terms:
30 + -1(5 + 8x + -3(2 + x)) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)
30 + -1(5 + 8x + (2 * -3 + x * -3)) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)
30 + -1(5 + 8x + (-6 + -3x)) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)

Reorder the terms:
30 + -1(5 + -6 + 8x + -3x) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)

Combine like terms: 5 + -6 = -1
30 + -1(-1 + 8x + -3x) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)

Combine like terms: 8x + -3x = 5x
30 + -1(-1 + 5x) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)
30 + (-1 * -1 + 5x * -1) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)
30 + (1 + -5x) = 2(3x + -6) + -1(7(x + -1) + -4x + 4)

Combine like terms: 30 + 1 = 31
31 + -5x = 2(3x + -6) + -1(7(x + -1) + -4x + 4)

Reorder the terms:
31 + -5x = 2(-6 + 3x) + -1(7(x + -1) + -4x + 4)
31 + -5x = (-6 * 2 + 3x * 2) + -1(7(x + -1) + -4x + 4)
31 + -5x = (-12 + 6x) + -1(7(x + -1) + -4x + 4)

Reorder the terms:
31 + -5x = -12 + 6x + -1(7(-1 + x) + -4x + 4)
31 + -5x = -12 + 6x + -1((-1 * 7 + x * 7) + -4x + 4)
31 + -5x = -12 + 6x + -1((-7 + 7x) + -4x + 4)

Reorder the terms:
31 + -5x = -12 + 6x + -1(-7 + 4 + 7x + -4x)

Combine like terms: -7 + 4 = -3
31 + -5x = -12 + 6x + -1(-3 + 7x + -4x)

Combine like terms: 7x + -4x = 3x
31 + -5x = -12 + 6x + -1(-3 + 3x)
31 + -5x = -12 + 6x + (-3 * -1 + 3x * -1)
31 + -5x = -12 + 6x + (3 + -3x)

Reorder the terms:
31 + -5x = -12 + 3 + 6x + -3x

Combine like terms: -12 + 3 = -9
31 + -5x = -9 + 6x + -3x

Combine like terms: 6x + -3x = 3x
31 + -5x = -9 + 3x

Solving
31 + -5x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
31 + -5x + -3x = -9 + 3x + -3x

Combine like terms: -5x + -3x = -8x
31 + -8x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
31 + -8x = -9 + 0
31 + -8x = -9

Add '-31' to each side of the equation.
31 + -31 + -8x = -9 + -31

Combine like terms: 31 + -31 = 0
0 + -8x = -9 + -31
-8x = -9 + -31

Combine like terms: -9 + -31 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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