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

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


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

Combine like terms: 2x + -3x = -1x
6(-1x) = 3(3x + -5)

Remove parenthesis around (-1x)
6 * -1x = 3(3x + -5)

Multiply 6 * -1
-6x = 3(3x + -5)

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

Solving
-6x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6x + -9x = -15 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
-15x = -15 + 0
-15x = -15

Divide each side by '-15'.
x = 1

Simplifying
x = 1

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