3(4x+12)=5(8x-3)+1

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Solution for 3(4x+12)=5(8x-3)+1 equation: 


Simplifying
3(4x + 12) = 5(8x + -3) + 1

Reorder the terms:
3(12 + 4x) = 5(8x + -3) + 1
(12 * 3 + 4x * 3) = 5(8x + -3) + 1
(36 + 12x) = 5(8x + -3) + 1

Reorder the terms:
36 + 12x = 5(-3 + 8x) + 1
36 + 12x = (-3 * 5 + 8x * 5) + 1
36 + 12x = (-15 + 40x) + 1

Reorder the terms:
36 + 12x = -15 + 1 + 40x

Combine like terms: -15 + 1 = -14
36 + 12x = -14 + 40x

Solving
36 + 12x = -14 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
36 + 12x + -40x = -14 + 40x + -40x

Combine like terms: 12x + -40x = -28x
36 + -28x = -14 + 40x + -40x

Combine like terms: 40x + -40x = 0
36 + -28x = -14 + 0
36 + -28x = -14

Add '-36' to each side of the equation.
36 + -36 + -28x = -14 + -36

Combine like terms: 36 + -36 = 0
0 + -28x = -14 + -36
-28x = -14 + -36

Combine like terms: -14 + -36 = -50
-28x = -50

Divide each side by '-28'.
x = 1.785714286

Simplifying
x = 1.785714286

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