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

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


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

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

Reorder the terms:
9 + 6x = 2(1 + x)
9 + 6x = (1 * 2 + x * 2)
9 + 6x = (2 + 2x)

Solving
9 + 6x = 2 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -1.75

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