.6(15x+10)=12x-9

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Solution for .6(15x+10)=12x-9 equation:


Simplifying
0.6(15x + 10) = 12x + -9

Reorder the terms:
0.6(10 + 15x) = 12x + -9
(10 * 0.6 + 15x * 0.6) = 12x + -9
(6 + 9x) = 12x + -9

Reorder the terms:
6 + 9x = -9 + 12x

Solving
6 + 9x = -9 + 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.
6 + 9x + -12x = -9 + 12x + -12x

Combine like terms: 9x + -12x = -3x
6 + -3x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -3x = -9 + 0
6 + -3x = -9

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -9 + -6
-3x = -9 + -6

Combine like terms: -9 + -6 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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