6(3x+5)+2(4x+16)-3(14+9x)=-4(x-11)

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Solution for 6(3x+5)+2(4x+16)-3(14+9x)=-4(x-11) equation: 


Simplifying
6(3x + 5) + 2(4x + 16) + -3(14 + 9x) = -4(x + -11)

Reorder the terms:
6(5 + 3x) + 2(4x + 16) + -3(14 + 9x) = -4(x + -11)
(5 * 6 + 3x * 6) + 2(4x + 16) + -3(14 + 9x) = -4(x + -11)
(30 + 18x) + 2(4x + 16) + -3(14 + 9x) = -4(x + -11)

Reorder the terms:
30 + 18x + 2(16 + 4x) + -3(14 + 9x) = -4(x + -11)
30 + 18x + (16 * 2 + 4x * 2) + -3(14 + 9x) = -4(x + -11)
30 + 18x + (32 + 8x) + -3(14 + 9x) = -4(x + -11)
30 + 18x + 32 + 8x + (14 * -3 + 9x * -3) = -4(x + -11)
30 + 18x + 32 + 8x + (-42 + -27x) = -4(x + -11)

Reorder the terms:
30 + 32 + -42 + 18x + 8x + -27x = -4(x + -11)

Combine like terms: 30 + 32 = 62
62 + -42 + 18x + 8x + -27x = -4(x + -11)

Combine like terms: 62 + -42 = 20
20 + 18x + 8x + -27x = -4(x + -11)

Combine like terms: 18x + 8x = 26x
20 + 26x + -27x = -4(x + -11)

Combine like terms: 26x + -27x = -1x
20 + -1x = -4(x + -11)

Reorder the terms:
20 + -1x = -4(-11 + x)
20 + -1x = (-11 * -4 + x * -4)
20 + -1x = (44 + -4x)

Solving
20 + -1x = 44 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
20 + -1x + 4x = 44 + -4x + 4x

Combine like terms: -1x + 4x = 3x
20 + 3x = 44 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 3x = 44 + 0
20 + 3x = 44

Add '-20' to each side of the equation.
20 + -20 + 3x = 44 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 44 + -20
3x = 44 + -20

Combine like terms: 44 + -20 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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