3(2x+9)=2(4x-1)

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Solution for 3(2x+9)=2(4x-1) equation:


Simplifying
3(2x + 9) = 2(4x + -1)

Reorder the terms:
3(9 + 2x) = 2(4x + -1)
(9 * 3 + 2x * 3) = 2(4x + -1)
(27 + 6x) = 2(4x + -1)

Reorder the terms:
27 + 6x = 2(-1 + 4x)
27 + 6x = (-1 * 2 + 4x * 2)
27 + 6x = (-2 + 8x)

Solving
27 + 6x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
27 + 6x + -8x = -2 + 8x + -8x

Combine like terms: 6x + -8x = -2x
27 + -2x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
27 + -2x = -2 + 0
27 + -2x = -2

Add '-27' to each side of the equation.
27 + -27 + -2x = -2 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = -2 + -27
-2x = -2 + -27

Combine like terms: -2 + -27 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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