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

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


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

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

Reorder the terms:
2 = -18 + 3 + 6x + -5x

Combine like terms: -18 + 3 = -15
2 = -15 + 6x + -5x

Combine like terms: 6x + -5x = 1x
2 = -15 + 1x

Solving
2 = -15 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -1x = -15 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + -1x = -15 + 0
2 + -1x = -15

Add '-2' to each side of the equation.
2 + -2 + -1x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -15 + -2
-1x = -15 + -2

Combine like terms: -15 + -2 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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