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

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


Simplifying
-2(3x + 5) = 3(6 + -1x)

Reorder the terms:
-2(5 + 3x) = 3(6 + -1x)
(5 * -2 + 3x * -2) = 3(6 + -1x)
(-10 + -6x) = 3(6 + -1x)
-10 + -6x = (6 * 3 + -1x * 3)
-10 + -6x = (18 + -3x)

Solving
-10 + -6x = 18 + -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.
-10 + -6x + 3x = 18 + -3x + 3x

Combine like terms: -6x + 3x = -3x
-10 + -3x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + -3x = 18 + 0
-10 + -3x = 18

Add '10' to each side of the equation.
-10 + 10 + -3x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 18 + 10
-3x = 18 + 10

Combine like terms: 18 + 10 = 28
-3x = 28

Divide each side by '-3'.
x = -9.333333333

Simplifying
x = -9.333333333

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