15(x-3)=2x(12)

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Solution for 15(x-3)=2x(12) equation:


Simplifying
15(x + -3) = 2x(12)

Reorder the terms:
15(-3 + x) = 2x(12)
(-3 * 15 + x * 15) = 2x(12)
(-45 + 15x) = 2x(12)

Reorder the terms for easier multiplication:
-45 + 15x = 2 * 12x

Multiply 2 * 12
-45 + 15x = 24x

Solving
-45 + 15x = 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-45 + 15x + -24x = 24x + -24x

Combine like terms: 15x + -24x = -9x
-45 + -9x = 24x + -24x

Combine like terms: 24x + -24x = 0
-45 + -9x = 0

Add '45' to each side of the equation.
-45 + 45 + -9x = 0 + 45

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

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

Divide each side by '-9'.
x = -5

Simplifying
x = -5

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