15(x-3)-3(2x-4)=12

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Solution for 15(x-3)-3(2x-4)=12 equation:


Simplifying
15(x + -3) + -3(2x + -4) = 12

Reorder the terms:
15(-3 + x) + -3(2x + -4) = 12
(-3 * 15 + x * 15) + -3(2x + -4) = 12
(-45 + 15x) + -3(2x + -4) = 12

Reorder the terms:
-45 + 15x + -3(-4 + 2x) = 12
-45 + 15x + (-4 * -3 + 2x * -3) = 12
-45 + 15x + (12 + -6x) = 12

Reorder the terms:
-45 + 12 + 15x + -6x = 12

Combine like terms: -45 + 12 = -33
-33 + 15x + -6x = 12

Combine like terms: 15x + -6x = 9x
-33 + 9x = 12

Solving
-33 + 9x = 12

Solving for variable 'x'.

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

Add '33' to each side of the equation.
-33 + 33 + 9x = 12 + 33

Combine like terms: -33 + 33 = 0
0 + 9x = 12 + 33
9x = 12 + 33

Combine like terms: 12 + 33 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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