(2x+3)(2x-1)-(4x+1)(x-7)=35

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Solution for (2x+3)(2x-1)-(4x+1)(x-7)=35 equation: 


Simplifying
(2x + 3)(2x + -1) + -1(4x + 1)(x + -7) = 35

Reorder the terms:
(3 + 2x)(2x + -1) + -1(4x + 1)(x + -7) = 35

Reorder the terms:
(3 + 2x)(-1 + 2x) + -1(4x + 1)(x + -7) = 35

Multiply (3 + 2x) * (-1 + 2x)
(3(-1 + 2x) + 2x * (-1 + 2x)) + -1(4x + 1)(x + -7) = 35
((-1 * 3 + 2x * 3) + 2x * (-1 + 2x)) + -1(4x + 1)(x + -7) = 35
((-3 + 6x) + 2x * (-1 + 2x)) + -1(4x + 1)(x + -7) = 35
(-3 + 6x + (-1 * 2x + 2x * 2x)) + -1(4x + 1)(x + -7) = 35
(-3 + 6x + (-2x + 4x2)) + -1(4x + 1)(x + -7) = 35

Combine like terms: 6x + -2x = 4x
(-3 + 4x + 4x2) + -1(4x + 1)(x + -7) = 35

Reorder the terms:
-3 + 4x + 4x2 + -1(1 + 4x)(x + -7) = 35

Reorder the terms:
-3 + 4x + 4x2 + -1(1 + 4x)(-7 + x) = 35

Multiply (1 + 4x) * (-7 + x)
-3 + 4x + 4x2 + -1(1(-7 + x) + 4x * (-7 + x)) = 35
-3 + 4x + 4x2 + -1((-7 * 1 + x * 1) + 4x * (-7 + x)) = 35
-3 + 4x + 4x2 + -1((-7 + 1x) + 4x * (-7 + x)) = 35
-3 + 4x + 4x2 + -1(-7 + 1x + (-7 * 4x + x * 4x)) = 35
-3 + 4x + 4x2 + -1(-7 + 1x + (-28x + 4x2)) = 35

Combine like terms: 1x + -28x = -27x
-3 + 4x + 4x2 + -1(-7 + -27x + 4x2) = 35
-3 + 4x + 4x2 + (-7 * -1 + -27x * -1 + 4x2 * -1) = 35
-3 + 4x + 4x2 + (7 + 27x + -4x2) = 35

Reorder the terms:
-3 + 7 + 4x + 27x + 4x2 + -4x2 = 35

Combine like terms: -3 + 7 = 4
4 + 4x + 27x + 4x2 + -4x2 = 35

Combine like terms: 4x + 27x = 31x
4 + 31x + 4x2 + -4x2 = 35

Combine like terms: 4x2 + -4x2 = 0
4 + 31x + 0 = 35
4 + 31x = 35

Solving
4 + 31x = 35

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 31x = 35 + -4

Combine like terms: 4 + -4 = 0
0 + 31x = 35 + -4
31x = 35 + -4

Combine like terms: 35 + -4 = 31
31x = 31

Divide each side by '31'.
x = 1

Simplifying
x = 1

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