(2x+3)=6(3x-1)

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Solution for (2x+3)=6(3x-1) equation:


Simplifying
(2x + 3) = 6(3x + -1)

Reorder the terms:
(3 + 2x) = 6(3x + -1)

Remove parenthesis around (3 + 2x)
3 + 2x = 6(3x + -1)

Reorder the terms:
3 + 2x = 6(-1 + 3x)
3 + 2x = (-1 * 6 + 3x * 6)
3 + 2x = (-6 + 18x)

Solving
3 + 2x = -6 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
3 + 2x + -18x = -6 + 18x + -18x

Combine like terms: 2x + -18x = -16x
3 + -16x = -6 + 18x + -18x

Combine like terms: 18x + -18x = 0
3 + -16x = -6 + 0
3 + -16x = -6

Add '-3' to each side of the equation.
3 + -3 + -16x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = -6 + -3
-16x = -6 + -3

Combine like terms: -6 + -3 = -9
-16x = -9

Divide each side by '-16'.
x = 0.5625

Simplifying
x = 0.5625

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