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

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


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

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

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

Solving
2 + 2x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 2x + -6x = 9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -4x = 9 + 0
2 + -4x = 9

Add '-2' to each side of the equation.
2 + -2 + -4x = 9 + -2

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

Combine like terms: 9 + -2 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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