6(2x-15)=3(5x-30)

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Solution for 6(2x-15)=3(5x-30) equation:


Simplifying
6(2x + -15) = 3(5x + -30)

Reorder the terms:
6(-15 + 2x) = 3(5x + -30)
(-15 * 6 + 2x * 6) = 3(5x + -30)
(-90 + 12x) = 3(5x + -30)

Reorder the terms:
-90 + 12x = 3(-30 + 5x)
-90 + 12x = (-30 * 3 + 5x * 3)
-90 + 12x = (-90 + 15x)

Add '90' to each side of the equation.
-90 + 90 + 12x = -90 + 90 + 15x

Combine like terms: -90 + 90 = 0
0 + 12x = -90 + 90 + 15x
12x = -90 + 90 + 15x

Combine like terms: -90 + 90 = 0
12x = 0 + 15x
12x = 15x

Solving
12x = 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.
12x + -15x = 15x + -15x

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

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

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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