(2x+9)*6=(7x+14)

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Solution for (2x+9)*6=(7x+14) equation:


Simplifying
(2x + 9) * 6 = (7x + 14)

Reorder the terms:
(9 + 2x) * 6 = (7x + 14)

Reorder the terms for easier multiplication:
6(9 + 2x) = (7x + 14)
(9 * 6 + 2x * 6) = (7x + 14)
(54 + 12x) = (7x + 14)

Reorder the terms:
54 + 12x = (14 + 7x)

Remove parenthesis around (14 + 7x)
54 + 12x = 14 + 7x

Solving
54 + 12x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
54 + 12x + -7x = 14 + 7x + -7x

Combine like terms: 12x + -7x = 5x
54 + 5x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
54 + 5x = 14 + 0
54 + 5x = 14

Add '-54' to each side of the equation.
54 + -54 + 5x = 14 + -54

Combine like terms: 54 + -54 = 0
0 + 5x = 14 + -54
5x = 14 + -54

Combine like terms: 14 + -54 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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