3(15-x)=(9x-10)

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Solution for 3(15-x)=(9x-10) equation:


Simplifying
3(15 + -1x) = (9x + -10)
(15 * 3 + -1x * 3) = (9x + -10)
(45 + -3x) = (9x + -10)

Reorder the terms:
45 + -3x = (-10 + 9x)

Remove parenthesis around (-10 + 9x)
45 + -3x = -10 + 9x

Solving
45 + -3x = -10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
45 + -3x + -9x = -10 + 9x + -9x

Combine like terms: -3x + -9x = -12x
45 + -12x = -10 + 9x + -9x

Combine like terms: 9x + -9x = 0
45 + -12x = -10 + 0
45 + -12x = -10

Add '-45' to each side of the equation.
45 + -45 + -12x = -10 + -45

Combine like terms: 45 + -45 = 0
0 + -12x = -10 + -45
-12x = -10 + -45

Combine like terms: -10 + -45 = -55
-12x = -55

Divide each side by '-12'.
x = 4.583333333

Simplifying
x = 4.583333333

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