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

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


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

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

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

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

Solving
18 + -6x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + -6x + -2x = -6 + 2x + -2x

Combine like terms: -6x + -2x = -8x
18 + -8x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -8x = -6 + 0
18 + -8x = -6

Add '-18' to each side of the equation.
18 + -18 + -8x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -6 + -18
-8x = -6 + -18

Combine like terms: -6 + -18 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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