(3x-1)*(2x+7)-(x+1)*(6x-5)=16

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Solution for (3x-1)*(2x+7)-(x+1)*(6x-5)=16 equation: 


Simplifying
(3x + -1)(2x + 7) + -1(x + 1)(6x + -5) = 16

Reorder the terms:
(-1 + 3x)(2x + 7) + -1(x + 1)(6x + -5) = 16

Reorder the terms:
(-1 + 3x)(7 + 2x) + -1(x + 1)(6x + -5) = 16

Multiply (-1 + 3x) * (7 + 2x)
(-1(7 + 2x) + 3x * (7 + 2x)) + -1(x + 1)(6x + -5) = 16
((7 * -1 + 2x * -1) + 3x * (7 + 2x)) + -1(x + 1)(6x + -5) = 16
((-7 + -2x) + 3x * (7 + 2x)) + -1(x + 1)(6x + -5) = 16
(-7 + -2x + (7 * 3x + 2x * 3x)) + -1(x + 1)(6x + -5) = 16
(-7 + -2x + (21x + 6x2)) + -1(x + 1)(6x + -5) = 16

Combine like terms: -2x + 21x = 19x
(-7 + 19x + 6x2) + -1(x + 1)(6x + -5) = 16

Reorder the terms:
-7 + 19x + 6x2 + -1(1 + x)(6x + -5) = 16

Reorder the terms:
-7 + 19x + 6x2 + -1(1 + x)(-5 + 6x) = 16

Multiply (1 + x) * (-5 + 6x)
-7 + 19x + 6x2 + -1(1(-5 + 6x) + x(-5 + 6x)) = 16
-7 + 19x + 6x2 + -1((-5 * 1 + 6x * 1) + x(-5 + 6x)) = 16
-7 + 19x + 6x2 + -1((-5 + 6x) + x(-5 + 6x)) = 16
-7 + 19x + 6x2 + -1(-5 + 6x + (-5 * x + 6x * x)) = 16
-7 + 19x + 6x2 + -1(-5 + 6x + (-5x + 6x2)) = 16

Combine like terms: 6x + -5x = 1x
-7 + 19x + 6x2 + -1(-5 + 1x + 6x2) = 16
-7 + 19x + 6x2 + (-5 * -1 + 1x * -1 + 6x2 * -1) = 16
-7 + 19x + 6x2 + (5 + -1x + -6x2) = 16

Reorder the terms:
-7 + 5 + 19x + -1x + 6x2 + -6x2 = 16

Combine like terms: -7 + 5 = -2
-2 + 19x + -1x + 6x2 + -6x2 = 16

Combine like terms: 19x + -1x = 18x
-2 + 18x + 6x2 + -6x2 = 16

Combine like terms: 6x2 + -6x2 = 0
-2 + 18x + 0 = 16
-2 + 18x = 16

Solving
-2 + 18x = 16

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 18x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 18x = 16 + 2
18x = 16 + 2

Combine like terms: 16 + 2 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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