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

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


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

Reorder the terms:
-10(-3 + 2x) = -5(3x + 6)
(-3 * -10 + 2x * -10) = -5(3x + 6)
(30 + -20x) = -5(3x + 6)

Reorder the terms:
30 + -20x = -5(6 + 3x)
30 + -20x = (6 * -5 + 3x * -5)
30 + -20x = (-30 + -15x)

Solving
30 + -20x = -30 + -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.
30 + -20x + 15x = -30 + -15x + 15x

Combine like terms: -20x + 15x = -5x
30 + -5x = -30 + -15x + 15x

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

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

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

Combine like terms: -30 + -30 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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