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

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


Simplifying
-1(3x + -5) = 6(2x + 5)

Reorder the terms:
-1(-5 + 3x) = 6(2x + 5)
(-5 * -1 + 3x * -1) = 6(2x + 5)
(5 + -3x) = 6(2x + 5)

Reorder the terms:
5 + -3x = 6(5 + 2x)
5 + -3x = (5 * 6 + 2x * 6)
5 + -3x = (30 + 12x)

Solving
5 + -3x = 30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + -3x + -12x = 30 + 12x + -12x

Combine like terms: -3x + -12x = -15x
5 + -15x = 30 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -15x = 30 + 0
5 + -15x = 30

Add '-5' to each side of the equation.
5 + -5 + -15x = 30 + -5

Combine like terms: 5 + -5 = 0
0 + -15x = 30 + -5
-15x = 30 + -5

Combine like terms: 30 + -5 = 25
-15x = 25

Divide each side by '-15'.
x = -1.666666667

Simplifying
x = -1.666666667

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