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

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


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

Reorder the terms:
6(6 + 4x) = 3(x + 8) + 3
(6 * 6 + 4x * 6) = 3(x + 8) + 3
(36 + 24x) = 3(x + 8) + 3

Reorder the terms:
36 + 24x = 3(8 + x) + 3
36 + 24x = (8 * 3 + x * 3) + 3
36 + 24x = (24 + 3x) + 3

Reorder the terms:
36 + 24x = 24 + 3 + 3x

Combine like terms: 24 + 3 = 27
36 + 24x = 27 + 3x

Solving
36 + 24x = 27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
36 + 24x + -3x = 27 + 3x + -3x

Combine like terms: 24x + -3x = 21x
36 + 21x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 21x = 27 + 0
36 + 21x = 27

Add '-36' to each side of the equation.
36 + -36 + 21x = 27 + -36

Combine like terms: 36 + -36 = 0
0 + 21x = 27 + -36
21x = 27 + -36

Combine like terms: 27 + -36 = -9
21x = -9

Divide each side by '21'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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