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

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


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

Reorder the terms:
2x + -3(-5 + 3x) = -6
2x + (-5 * -3 + 3x * -3) = -6
2x + (15 + -9x) = -6

Reorder the terms:
15 + 2x + -9x = -6

Combine like terms: 2x + -9x = -7x
15 + -7x = -6

Solving
15 + -7x = -6

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -7x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -6 + -15
-7x = -6 + -15

Combine like terms: -6 + -15 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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