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

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


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

Reorder the terms:
-2(-5 + 3x) = -3(2 + -3x)
(-5 * -2 + 3x * -2) = -3(2 + -3x)
(10 + -6x) = -3(2 + -3x)
10 + -6x = (2 * -3 + -3x * -3)
10 + -6x = (-6 + 9x)

Solving
10 + -6x = -6 + 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.
10 + -6x + -9x = -6 + 9x + -9x

Combine like terms: -6x + -9x = -15x
10 + -15x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -15x = -6 + 0
10 + -15x = -6

Add '-10' to each side of the equation.
10 + -10 + -15x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -15x = -6 + -10
-15x = -6 + -10

Combine like terms: -6 + -10 = -16
-15x = -16

Divide each side by '-15'.
x = 1.066666667

Simplifying
x = 1.066666667

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