6(3X+5)+12=2(5X+9)

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Solution for 6(3X+5)+12=2(5X+9) equation:


Simplifying
6(3X + 5) + 12 = 2(5X + 9)

Reorder the terms:
6(5 + 3X) + 12 = 2(5X + 9)
(5 * 6 + 3X * 6) + 12 = 2(5X + 9)
(30 + 18X) + 12 = 2(5X + 9)

Reorder the terms:
30 + 12 + 18X = 2(5X + 9)

Combine like terms: 30 + 12 = 42
42 + 18X = 2(5X + 9)

Reorder the terms:
42 + 18X = 2(9 + 5X)
42 + 18X = (9 * 2 + 5X * 2)
42 + 18X = (18 + 10X)

Solving
42 + 18X = 18 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
42 + 18X + -10X = 18 + 10X + -10X

Combine like terms: 18X + -10X = 8X
42 + 8X = 18 + 10X + -10X

Combine like terms: 10X + -10X = 0
42 + 8X = 18 + 0
42 + 8X = 18

Add '-42' to each side of the equation.
42 + -42 + 8X = 18 + -42

Combine like terms: 42 + -42 = 0
0 + 8X = 18 + -42
8X = 18 + -42

Combine like terms: 18 + -42 = -24
8X = -24

Divide each side by '8'.
X = -3

Simplifying
X = -3

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