15-(6x(2+a)-(5x-3)(2-a))=(x-2)(3-4a)-7ax

Solution for 15-(6x(2+a)-(5x-3)(2-a))=(x-2)(3-4a)-7ax equation:

Simplifying
15 + -1(6x(2 + a) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7ax
15 + -1((2 * 6x + a * 6x) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7ax

Reorder the terms:
15 + -1((6ax + 12x) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7ax
15 + -1((6ax + 12x) + -1(5x + -3)(2 + -1a)) = (x + -2)(3 + -4a) + -7ax

Reorder the terms:
15 + -1(6ax + 12x + -1(-3 + 5x)(2 + -1a)) = (x + -2)(3 + -4a) + -7ax

Multiply (-3 + 5x) * (2 + -1a)
15 + -1(6ax + 12x + -1(-3(2 + -1a) + 5x * (2 + -1a))) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + -1((2 * -3 + -1a * -3) + 5x * (2 + -1a))) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + -1((-6 + 3a) + 5x * (2 + -1a))) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + -1(-6 + 3a + (2 * 5x + -1a * 5x))) = (x + -2)(3 + -4a) + -7ax

Reorder the terms:
15 + -1(6ax + 12x + -1(-6 + 3a + (-5ax + 10x))) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + -1(-6 + 3a + (-5ax + 10x))) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + -1(-6 + 3a + -5ax + 10x)) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + (-6 * -1 + 3a * -1 + -5ax * -1 + 10x * -1)) = (x + -2)(3 + -4a) + -7ax
15 + -1(6ax + 12x + (6 + -3a + 5ax + -10x)) = (x + -2)(3 + -4a) + -7ax

Reorder the terms:
15 + -1(6 + -3a + 6ax + 5ax + 12x + -10x) = (x + -2)(3 + -4a) + -7ax

Combine like terms: 6ax + 5ax = 11ax
15 + -1(6 + -3a + 11ax + 12x + -10x) = (x + -2)(3 + -4a) + -7ax

Combine like terms: 12x + -10x = 2x
15 + -1(6 + -3a + 11ax + 2x) = (x + -2)(3 + -4a) + -7ax
15 + (6 * -1 + -3a * -1 + 11ax * -1 + 2x * -1) = (x + -2)(3 + -4a) + -7ax
15 + (-6 + 3a + -11ax + -2x) = (x + -2)(3 + -4a) + -7ax

Combine like terms: 15 + -6 = 9
9 + 3a + -11ax + -2x = (x + -2)(3 + -4a) + -7ax

Reorder the terms:
9 + 3a + -11ax + -2x = (-2 + x)(3 + -4a) + -7ax

Multiply (-2 + x) * (3 + -4a)
9 + 3a + -11ax + -2x = (-2(3 + -4a) + x(3 + -4a)) + -7ax
9 + 3a + -11ax + -2x = ((3 * -2 + -4a * -2) + x(3 + -4a)) + -7ax
9 + 3a + -11ax + -2x = ((-6 + 8a) + x(3 + -4a)) + -7ax
9 + 3a + -11ax + -2x = (-6 + 8a + (3 * x + -4a * x)) + -7ax

Reorder the terms:
9 + 3a + -11ax + -2x = (-6 + 8a + (-4ax + 3x)) + -7ax
9 + 3a + -11ax + -2x = (-6 + 8a + (-4ax + 3x)) + -7ax
9 + 3a + -11ax + -2x = (-6 + 8a + -4ax + 3x) + -7ax

Reorder the terms:
9 + 3a + -11ax + -2x = -6 + 8a + -4ax + -7ax + 3x

Combine like terms: -4ax + -7ax = -11ax
9 + 3a + -11ax + -2x = -6 + 8a + -11ax + 3x

Add '11ax' to each side of the equation.
9 + 3a + -11ax + 11ax + -2x = -6 + 8a + -11ax + 11ax + 3x

Combine like terms: -11ax + 11ax = 0
9 + 3a + 0 + -2x = -6 + 8a + -11ax + 11ax + 3x
9 + 3a + -2x = -6 + 8a + -11ax + 11ax + 3x

Combine like terms: -11ax + 11ax = 0
9 + 3a + -2x = -6 + 8a + 0 + 3x
9 + 3a + -2x = -6 + 8a + 3x

Solving
9 + 3a + -2x = -6 + 8a + 3x

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
9 + 3a + -8a + -2x = -6 + 8a + -8a + 3x

Combine like terms: 3a + -8a = -5a
9 + -5a + -2x = -6 + 8a + -8a + 3x

Combine like terms: 8a + -8a = 0
9 + -5a + -2x = -6 + 0 + 3x
9 + -5a + -2x = -6 + 3x

Add '-9' to each side of the equation.
9 + -5a + -9 + -2x = -6 + -9 + 3x

Reorder the terms:
9 + -9 + -5a + -2x = -6 + -9 + 3x

Combine like terms: 9 + -9 = 0
0 + -5a + -2x = -6 + -9 + 3x
-5a + -2x = -6 + -9 + 3x

Combine like terms: -6 + -9 = -15
-5a + -2x = -15 + 3x

Add '2x' to each side of the equation.
-5a + -2x + 2x = -15 + 3x + 2x

Combine like terms: -2x + 2x = 0
-5a + 0 = -15 + 3x + 2x
-5a = -15 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-5a = -15 + 5x

Divide each side by '-5'.
a = 3 + -1x

Simplifying
a = 3 + -1x