(15x+12)(15-12)=255x-144

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Solution for (15x+12)(15-12)=255x-144 equation:


Simplifying
(15x + 12)(15 + -12) = 255x + -144

Reorder the terms:
(12 + 15x)(15 + -12) = 255x + -144

Combine like terms: 15 + -12 = 3
(12 + 15x)(3) = 255x + -144

Reorder the terms for easier multiplication:
3(12 + 15x) = 255x + -144
(12 * 3 + 15x * 3) = 255x + -144
(36 + 45x) = 255x + -144

Reorder the terms:
36 + 45x = -144 + 255x

Solving
36 + 45x = -144 + 255x

Solving for variable 'x'.

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

Add '-255x' to each side of the equation.
36 + 45x + -255x = -144 + 255x + -255x

Combine like terms: 45x + -255x = -210x
36 + -210x = -144 + 255x + -255x

Combine like terms: 255x + -255x = 0
36 + -210x = -144 + 0
36 + -210x = -144

Add '-36' to each side of the equation.
36 + -36 + -210x = -144 + -36

Combine like terms: 36 + -36 = 0
0 + -210x = -144 + -36
-210x = -144 + -36

Combine like terms: -144 + -36 = -180
-210x = -180

Divide each side by '-210'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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