15(3x+1)-243(5x-2)=0

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Solution for 15(3x+1)-243(5x-2)=0 equation:


Simplifying
15(3x + 1) + -243(5x + -2) = 0

Reorder the terms:
15(1 + 3x) + -243(5x + -2) = 0
(1 * 15 + 3x * 15) + -243(5x + -2) = 0
(15 + 45x) + -243(5x + -2) = 0

Reorder the terms:
15 + 45x + -243(-2 + 5x) = 0
15 + 45x + (-2 * -243 + 5x * -243) = 0
15 + 45x + (486 + -1215x) = 0

Reorder the terms:
15 + 486 + 45x + -1215x = 0

Combine like terms: 15 + 486 = 501
501 + 45x + -1215x = 0

Combine like terms: 45x + -1215x = -1170x
501 + -1170x = 0

Solving
501 + -1170x = 0

Solving for variable 'x'.

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

Add '-501' to each side of the equation.
501 + -501 + -1170x = 0 + -501

Combine like terms: 501 + -501 = 0
0 + -1170x = 0 + -501
-1170x = 0 + -501

Combine like terms: 0 + -501 = -501
-1170x = -501

Divide each side by '-1170'.
x = 0.4282051282

Simplifying
x = 0.4282051282

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