15x-3(x+15)=x-6

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Solution for 15x-3(x+15)=x-6 equation:


Simplifying
15x + -3(x + 15) = x + -6

Reorder the terms:
15x + -3(15 + x) = x + -6
15x + (15 * -3 + x * -3) = x + -6
15x + (-45 + -3x) = x + -6

Reorder the terms:
-45 + 15x + -3x = x + -6

Combine like terms: 15x + -3x = 12x
-45 + 12x = x + -6

Reorder the terms:
-45 + 12x = -6 + x

Solving
-45 + 12x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-45 + 12x + -1x = -6 + x + -1x

Combine like terms: 12x + -1x = 11x
-45 + 11x = -6 + x + -1x

Combine like terms: x + -1x = 0
-45 + 11x = -6 + 0
-45 + 11x = -6

Add '45' to each side of the equation.
-45 + 45 + 11x = -6 + 45

Combine like terms: -45 + 45 = 0
0 + 11x = -6 + 45
11x = -6 + 45

Combine like terms: -6 + 45 = 39
11x = 39

Divide each side by '11'.
x = 3.545454545

Simplifying
x = 3.545454545

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