6(4x+5)=3(x+8)+3

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Solution for 6(4x+5)=3(x+8)+3 equation:


Simplifying
6(4x + 5) = 3(x + 8) + 3

Reorder the terms:
6(5 + 4x) = 3(x + 8) + 3
(5 * 6 + 4x * 6) = 3(x + 8) + 3
(30 + 24x) = 3(x + 8) + 3

Reorder the terms:
30 + 24x = 3(8 + x) + 3
30 + 24x = (8 * 3 + x * 3) + 3
30 + 24x = (24 + 3x) + 3

Reorder the terms:
30 + 24x = 24 + 3 + 3x

Combine like terms: 24 + 3 = 27
30 + 24x = 27 + 3x

Solving
30 + 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.
30 + 24x + -3x = 27 + 3x + -3x

Combine like terms: 24x + -3x = 21x
30 + 21x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 21x = 27 + 0
30 + 21x = 27

Add '-30' to each side of the equation.
30 + -30 + 21x = 27 + -30

Combine like terms: 30 + -30 = 0
0 + 21x = 27 + -30
21x = 27 + -30

Combine like terms: 27 + -30 = -3
21x = -3

Divide each side by '21'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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