-3x-5(2x-5)=6(-3x-10)

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Solution for -3x-5(2x-5)=6(-3x-10) equation:


Simplifying
-3x + -5(2x + -5) = 6(-3x + -10)

Reorder the terms:
-3x + -5(-5 + 2x) = 6(-3x + -10)
-3x + (-5 * -5 + 2x * -5) = 6(-3x + -10)
-3x + (25 + -10x) = 6(-3x + -10)

Reorder the terms:
25 + -3x + -10x = 6(-3x + -10)

Combine like terms: -3x + -10x = -13x
25 + -13x = 6(-3x + -10)

Reorder the terms:
25 + -13x = 6(-10 + -3x)
25 + -13x = (-10 * 6 + -3x * 6)
25 + -13x = (-60 + -18x)

Solving
25 + -13x = -60 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
25 + -13x + 18x = -60 + -18x + 18x

Combine like terms: -13x + 18x = 5x
25 + 5x = -60 + -18x + 18x

Combine like terms: -18x + 18x = 0
25 + 5x = -60 + 0
25 + 5x = -60

Add '-25' to each side of the equation.
25 + -25 + 5x = -60 + -25

Combine like terms: 25 + -25 = 0
0 + 5x = -60 + -25
5x = -60 + -25

Combine like terms: -60 + -25 = -85
5x = -85

Divide each side by '5'.
x = -17

Simplifying
x = -17

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