(6x+9)=2(2x+1.5)

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Solution for (6x+9)=2(2x+1.5) equation:


Simplifying
(6x + 9) = 2(2x + 1.5)

Reorder the terms:
(9 + 6x) = 2(2x + 1.5)

Remove parenthesis around (9 + 6x)
9 + 6x = 2(2x + 1.5)

Reorder the terms:
9 + 6x = 2(1.5 + 2x)
9 + 6x = (1.5 * 2 + 2x * 2)
9 + 6x = (3 + 4x)

Solving
9 + 6x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 6x + -4x = 3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
9 + 2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 2x = 3 + 0
9 + 2x = 3

Add '-9' to each side of the equation.
9 + -9 + 2x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 3 + -9
2x = 3 + -9

Combine like terms: 3 + -9 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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