5(3x-2)+3x-6(8x-13)=16(9-2x)-78

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Solution for 5(3x-2)+3x-6(8x-13)=16(9-2x)-78 equation: 


Simplifying
5(3x + -2) + 3x + -6(8x + -13) = 16(9 + -2x) + -78

Reorder the terms:
5(-2 + 3x) + 3x + -6(8x + -13) = 16(9 + -2x) + -78
(-2 * 5 + 3x * 5) + 3x + -6(8x + -13) = 16(9 + -2x) + -78
(-10 + 15x) + 3x + -6(8x + -13) = 16(9 + -2x) + -78

Reorder the terms:
-10 + 15x + 3x + -6(-13 + 8x) = 16(9 + -2x) + -78
-10 + 15x + 3x + (-13 * -6 + 8x * -6) = 16(9 + -2x) + -78
-10 + 15x + 3x + (78 + -48x) = 16(9 + -2x) + -78

Reorder the terms:
-10 + 78 + 15x + 3x + -48x = 16(9 + -2x) + -78

Combine like terms: -10 + 78 = 68
68 + 15x + 3x + -48x = 16(9 + -2x) + -78

Combine like terms: 15x + 3x = 18x
68 + 18x + -48x = 16(9 + -2x) + -78

Combine like terms: 18x + -48x = -30x
68 + -30x = 16(9 + -2x) + -78
68 + -30x = (9 * 16 + -2x * 16) + -78
68 + -30x = (144 + -32x) + -78

Reorder the terms:
68 + -30x = 144 + -78 + -32x

Combine like terms: 144 + -78 = 66
68 + -30x = 66 + -32x

Solving
68 + -30x = 66 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
68 + -30x + 32x = 66 + -32x + 32x

Combine like terms: -30x + 32x = 2x
68 + 2x = 66 + -32x + 32x

Combine like terms: -32x + 32x = 0
68 + 2x = 66 + 0
68 + 2x = 66

Add '-68' to each side of the equation.
68 + -68 + 2x = 66 + -68

Combine like terms: 68 + -68 = 0
0 + 2x = 66 + -68
2x = 66 + -68

Combine like terms: 66 + -68 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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