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

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


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

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

Reorder the terms:
30 + 24x = 3x(8 + x) + 3
30 + 24x = (8 * 3x + x * 3x) + 3
30 + 24x = (24x + 3x2) + 3

Reorder the terms:
30 + 24x = 3 + 24x + 3x2

Add '-24x' to each side of the equation.
30 + 24x + -24x = 3 + 24x + -24x + 3x2

Combine like terms: 24x + -24x = 0
30 + 0 = 3 + 24x + -24x + 3x2
30 = 3 + 24x + -24x + 3x2

Combine like terms: 24x + -24x = 0
30 = 3 + 0 + 3x2
30 = 3 + 3x2

Solving
30 = 3 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
30 + -3x2 = 3 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + -3x2 = 3 + 0
30 + -3x2 = 3

Add '-30' to each side of the equation.
30 + -30 + -3x2 = 3 + -30

Combine like terms: 30 + -30 = 0
0 + -3x2 = 3 + -30
-3x2 = 3 + -30

Combine like terms: 3 + -30 = -27
-3x2 = -27

Divide each side by '-3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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