4x+12(8x+6)=2(4x+3)

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Solution for 4x+12(8x+6)=2(4x+3) equation:


Simplifying
4x + 12(8x + 6) = 2(4x + 3)

Reorder the terms:
4x + 12(6 + 8x) = 2(4x + 3)
4x + (6 * 12 + 8x * 12) = 2(4x + 3)
4x + (72 + 96x) = 2(4x + 3)

Reorder the terms:
72 + 4x + 96x = 2(4x + 3)

Combine like terms: 4x + 96x = 100x
72 + 100x = 2(4x + 3)

Reorder the terms:
72 + 100x = 2(3 + 4x)
72 + 100x = (3 * 2 + 4x * 2)
72 + 100x = (6 + 8x)

Solving
72 + 100x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
72 + 100x + -8x = 6 + 8x + -8x

Combine like terms: 100x + -8x = 92x
72 + 92x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
72 + 92x = 6 + 0
72 + 92x = 6

Add '-72' to each side of the equation.
72 + -72 + 92x = 6 + -72

Combine like terms: 72 + -72 = 0
0 + 92x = 6 + -72
92x = 6 + -72

Combine like terms: 6 + -72 = -66
92x = -66

Divide each side by '92'.
x = -0.7173913043

Simplifying
x = -0.7173913043

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