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

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


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

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

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

Solving
18 + -6x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
18 + -6x + 5x = 6 + -5x + 5x

Combine like terms: -6x + 5x = -1x
18 + -1x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + -1x = 6 + 0
18 + -1x = 6

Add '-18' to each side of the equation.
18 + -18 + -1x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 6 + -18
-1x = 6 + -18

Combine like terms: 6 + -18 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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