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

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


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

Reorder the terms:
-2(-5 + 6x) = 3(3 + -5x)
(-5 * -2 + 6x * -2) = 3(3 + -5x)
(10 + -12x) = 3(3 + -5x)
10 + -12x = (3 * 3 + -5x * 3)
10 + -12x = (9 + -15x)

Solving
10 + -12x = 9 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
10 + -12x + 15x = 9 + -15x + 15x

Combine like terms: -12x + 15x = 3x
10 + 3x = 9 + -15x + 15x

Combine like terms: -15x + 15x = 0
10 + 3x = 9 + 0
10 + 3x = 9

Add '-10' to each side of the equation.
10 + -10 + 3x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 9 + -10
3x = 9 + -10

Combine like terms: 9 + -10 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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