(4x+1)(x-3)-(x-7)(4x-1)=15

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Solution for (4x+1)(x-3)-(x-7)(4x-1)=15 equation: 


Simplifying
(4x + 1)(x + -3) + -1(x + -7)(4x + -1) = 15

Reorder the terms:
(1 + 4x)(x + -3) + -1(x + -7)(4x + -1) = 15

Reorder the terms:
(1 + 4x)(-3 + x) + -1(x + -7)(4x + -1) = 15

Multiply (1 + 4x) * (-3 + x)
(1(-3 + x) + 4x * (-3 + x)) + -1(x + -7)(4x + -1) = 15
((-3 * 1 + x * 1) + 4x * (-3 + x)) + -1(x + -7)(4x + -1) = 15
((-3 + 1x) + 4x * (-3 + x)) + -1(x + -7)(4x + -1) = 15
(-3 + 1x + (-3 * 4x + x * 4x)) + -1(x + -7)(4x + -1) = 15
(-3 + 1x + (-12x + 4x2)) + -1(x + -7)(4x + -1) = 15

Combine like terms: 1x + -12x = -11x
(-3 + -11x + 4x2) + -1(x + -7)(4x + -1) = 15

Reorder the terms:
-3 + -11x + 4x2 + -1(-7 + x)(4x + -1) = 15

Reorder the terms:
-3 + -11x + 4x2 + -1(-7 + x)(-1 + 4x) = 15

Multiply (-7 + x) * (-1 + 4x)
-3 + -11x + 4x2 + -1(-7(-1 + 4x) + x(-1 + 4x)) = 15
-3 + -11x + 4x2 + -1((-1 * -7 + 4x * -7) + x(-1 + 4x)) = 15
-3 + -11x + 4x2 + -1((7 + -28x) + x(-1 + 4x)) = 15
-3 + -11x + 4x2 + -1(7 + -28x + (-1 * x + 4x * x)) = 15
-3 + -11x + 4x2 + -1(7 + -28x + (-1x + 4x2)) = 15

Combine like terms: -28x + -1x = -29x
-3 + -11x + 4x2 + -1(7 + -29x + 4x2) = 15
-3 + -11x + 4x2 + (7 * -1 + -29x * -1 + 4x2 * -1) = 15
-3 + -11x + 4x2 + (-7 + 29x + -4x2) = 15

Reorder the terms:
-3 + -7 + -11x + 29x + 4x2 + -4x2 = 15

Combine like terms: -3 + -7 = -10
-10 + -11x + 29x + 4x2 + -4x2 = 15

Combine like terms: -11x + 29x = 18x
-10 + 18x + 4x2 + -4x2 = 15

Combine like terms: 4x2 + -4x2 = 0
-10 + 18x + 0 = 15
-10 + 18x = 15

Solving
-10 + 18x = 15

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 18x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 15 + 10
18x = 15 + 10

Combine like terms: 15 + 10 = 25
18x = 25

Divide each side by '18'.
x = 1.388888889

Simplifying
x = 1.388888889

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