6(x+2)=12x-15

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Solution for 6(x+2)=12x-15 equation:


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

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

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

Solving
12 + 6x = -15 + 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.
12 + 6x + -12x = -15 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
12 + -6x = -15 + 0
12 + -6x = -15

Add '-12' to each side of the equation.
12 + -12 + -6x = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -15 + -12
-6x = -15 + -12

Combine like terms: -15 + -12 = -27
-6x = -27

Divide each side by '-6'.
x = 4.5

Simplifying
x = 4.5

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