(2x+3)(8x-7)=x(16x-15)+14

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Solution for (2x+3)(8x-7)=x(16x-15)+14 equation: 


Simplifying
(2x + 3)(8x + -7) = x(16x + -15) + 14

Reorder the terms:
(3 + 2x)(8x + -7) = x(16x + -15) + 14

Reorder the terms:
(3 + 2x)(-7 + 8x) = x(16x + -15) + 14

Multiply (3 + 2x) * (-7 + 8x)
(3(-7 + 8x) + 2x * (-7 + 8x)) = x(16x + -15) + 14
((-7 * 3 + 8x * 3) + 2x * (-7 + 8x)) = x(16x + -15) + 14
((-21 + 24x) + 2x * (-7 + 8x)) = x(16x + -15) + 14
(-21 + 24x + (-7 * 2x + 8x * 2x)) = x(16x + -15) + 14
(-21 + 24x + (-14x + 16x2)) = x(16x + -15) + 14

Combine like terms: 24x + -14x = 10x
(-21 + 10x + 16x2) = x(16x + -15) + 14

Reorder the terms:
-21 + 10x + 16x2 = x(-15 + 16x) + 14
-21 + 10x + 16x2 = (-15 * x + 16x * x) + 14
-21 + 10x + 16x2 = (-15x + 16x2) + 14

Reorder the terms:
-21 + 10x + 16x2 = 14 + -15x + 16x2

Add '-16x2' to each side of the equation.
-21 + 10x + 16x2 + -16x2 = 14 + -15x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-21 + 10x + 0 = 14 + -15x + 16x2 + -16x2
-21 + 10x = 14 + -15x + 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-21 + 10x = 14 + -15x + 0
-21 + 10x = 14 + -15x

Solving
-21 + 10x = 14 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-21 + 10x + 15x = 14 + -15x + 15x

Combine like terms: 10x + 15x = 25x
-21 + 25x = 14 + -15x + 15x

Combine like terms: -15x + 15x = 0
-21 + 25x = 14 + 0
-21 + 25x = 14

Add '21' to each side of the equation.
-21 + 21 + 25x = 14 + 21

Combine like terms: -21 + 21 = 0
0 + 25x = 14 + 21
25x = 14 + 21

Combine like terms: 14 + 21 = 35
25x = 35

Divide each side by '25'.
x = 1.4

Simplifying
x = 1.4

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