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

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


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

Reorder the terms:
6(3 + 2x) + -3(x + -5) = 3
(3 * 6 + 2x * 6) + -3(x + -5) = 3
(18 + 12x) + -3(x + -5) = 3

Reorder the terms:
18 + 12x + -3(-5 + x) = 3
18 + 12x + (-5 * -3 + x * -3) = 3
18 + 12x + (15 + -3x) = 3

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

Combine like terms: 18 + 15 = 33
33 + 12x + -3x = 3

Combine like terms: 12x + -3x = 9x
33 + 9x = 3

Solving
33 + 9x = 3

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 9x = 3 + -33

Combine like terms: 33 + -33 = 0
0 + 9x = 3 + -33
9x = 3 + -33

Combine like terms: 3 + -33 = -30
9x = -30

Divide each side by '9'.
x = -3.333333333

Simplifying
x = -3.333333333

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