3(x-5)=-12x+45

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Solution for 3(x-5)=-12x+45 equation:


Simplifying
3(x + -5) = -12x + 45

Reorder the terms:
3(-5 + x) = -12x + 45
(-5 * 3 + x * 3) = -12x + 45
(-15 + 3x) = -12x + 45

Reorder the terms:
-15 + 3x = 45 + -12x

Solving
-15 + 3x = 45 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-15 + 3x + 12x = 45 + -12x + 12x

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

Combine like terms: -12x + 12x = 0
-15 + 15x = 45 + 0
-15 + 15x = 45

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

Combine like terms: -15 + 15 = 0
0 + 15x = 45 + 15
15x = 45 + 15

Combine like terms: 45 + 15 = 60
15x = 60

Divide each side by '15'.
x = 4

Simplifying
x = 4

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