8x+4(4x-3)=4(6x+4)a

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Solution for 8x+4(4x-3)=4(6x+4)a equation:


Simplifying
8x + 4(4x + -3) = 4(6x + 4) * a

Reorder the terms:
8x + 4(-3 + 4x) = 4(6x + 4) * a
8x + (-3 * 4 + 4x * 4) = 4(6x + 4) * a
8x + (-12 + 16x) = 4(6x + 4) * a

Reorder the terms:
-12 + 8x + 16x = 4(6x + 4) * a

Combine like terms: 8x + 16x = 24x
-12 + 24x = 4(6x + 4) * a

Reorder the terms:
-12 + 24x = 4(4 + 6x) * a

Reorder the terms for easier multiplication:
-12 + 24x = 4a(4 + 6x)
-12 + 24x = (4 * 4a + 6x * 4a)
-12 + 24x = (16a + 24ax)

Solving
-12 + 24x = 16a + 24ax

Solving for variable 'x'.

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

Add '-24ax' to each side of the equation.
-12 + -24ax + 24x = 16a + 24ax + -24ax

Combine like terms: 24ax + -24ax = 0
-12 + -24ax + 24x = 16a + 0
-12 + -24ax + 24x = 16a

Add '12' to each side of the equation.
-12 + -24ax + 12 + 24x = 12 + 16a

Reorder the terms:
-12 + 12 + -24ax + 24x = 12 + 16a

Combine like terms: -12 + 12 = 0
0 + -24ax + 24x = 12 + 16a
-24ax + 24x = 12 + 16a

Reorder the terms:
-12 + -16a + -24ax + 24x = 12 + 16a + -12 + -16a

Reorder the terms:
-12 + -16a + -24ax + 24x = 12 + -12 + 16a + -16a

Combine like terms: 12 + -12 = 0
-12 + -16a + -24ax + 24x = 0 + 16a + -16a
-12 + -16a + -24ax + 24x = 16a + -16a

Combine like terms: 16a + -16a = 0
-12 + -16a + -24ax + 24x = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -4a + -6ax + 6x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + -4a + -6ax + 6x)' equal to zero and attempt to solve: Simplifying -3 + -4a + -6ax + 6x = 0 Solving -3 + -4a + -6ax + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4a + -6ax + 3 + 6x = 0 + 3 Reorder the terms: -3 + 3 + -4a + -6ax + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4a + -6ax + 6x = 0 + 3 -4a + -6ax + 6x = 0 + 3 Combine like terms: 0 + 3 = 3 -4a + -6ax + 6x = 3 Add '4a' to each side of the equation. -4a + -6ax + 4a + 6x = 3 + 4a Reorder the terms: -4a + 4a + -6ax + 6x = 3 + 4a Combine like terms: -4a + 4a = 0 0 + -6ax + 6x = 3 + 4a -6ax + 6x = 3 + 4a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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