5x-12=-2(2.5x+6)

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Solution for 5x-12=-2(2.5x+6) equation:


Simplifying
5x + -12 = -2(2.5x + 6)

Reorder the terms:
-12 + 5x = -2(2.5x + 6)

Reorder the terms:
-12 + 5x = -2(6 + 2.5x)
-12 + 5x = (6 * -2 + 2.5x * -2)
-12 + 5x = (-12 + -5x)

Add '12' to each side of the equation.
-12 + 12 + 5x = -12 + 12 + -5x

Combine like terms: -12 + 12 = 0
0 + 5x = -12 + 12 + -5x
5x = -12 + 12 + -5x

Combine like terms: -12 + 12 = 0
5x = 0 + -5x
5x = -5x

Solving
5x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5x + 5x = -5x + 5x

Combine like terms: 5x + 5x = 10x
10x = -5x + 5x

Combine like terms: -5x + 5x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0

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