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

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


Simplifying
-6(5 + -1x) + 2 = 3(x + -3)
(5 * -6 + -1x * -6) + 2 = 3(x + -3)
(-30 + 6x) + 2 = 3(x + -3)

Reorder the terms:
-30 + 2 + 6x = 3(x + -3)

Combine like terms: -30 + 2 = -28
-28 + 6x = 3(x + -3)

Reorder the terms:
-28 + 6x = 3(-3 + x)
-28 + 6x = (-3 * 3 + x * 3)
-28 + 6x = (-9 + 3x)

Solving
-28 + 6x = -9 + 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.
-28 + 6x + -3x = -9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-28 + 3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 3x = -9 + 0
-28 + 3x = -9

Add '28' to each side of the equation.
-28 + 28 + 3x = -9 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -9 + 28
3x = -9 + 28

Combine like terms: -9 + 28 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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