3(x+5)=6(2x+3)+3

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Solution for 3(x+5)=6(2x+3)+3 equation:


Simplifying
3(x + 5) = 6(2x + 3) + 3

Reorder the terms:
3(5 + x) = 6(2x + 3) + 3
(5 * 3 + x * 3) = 6(2x + 3) + 3
(15 + 3x) = 6(2x + 3) + 3

Reorder the terms:
15 + 3x = 6(3 + 2x) + 3
15 + 3x = (3 * 6 + 2x * 6) + 3
15 + 3x = (18 + 12x) + 3

Reorder the terms:
15 + 3x = 18 + 3 + 12x

Combine like terms: 18 + 3 = 21
15 + 3x = 21 + 12x

Solving
15 + 3x = 21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + 3x + -12x = 21 + 12x + -12x

Combine like terms: 3x + -12x = -9x
15 + -9x = 21 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -9x = 21 + 0
15 + -9x = 21

Add '-15' to each side of the equation.
15 + -15 + -9x = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -9x = 21 + -15
-9x = 21 + -15

Combine like terms: 21 + -15 = 6
-9x = 6

Divide each side by '-9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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