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

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


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

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

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

Remove parenthesis around (1 + 4x)
9 + 6x = 1 + 4x + -2(3x + 2)

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

Reorder the terms:
9 + 6x = 1 + -4 + 4x + -6x

Combine like terms: 1 + -4 = -3
9 + 6x = -3 + 4x + -6x

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

Solving
9 + 6x = -3 + -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 = -3 + -2x + 2x

Combine like terms: 6x + 2x = 8x
9 + 8x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 8x = -3 + 0
9 + 8x = -3

Add '-9' to each side of the equation.
9 + -9 + 8x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = -3 + -9
8x = -3 + -9

Combine like terms: -3 + -9 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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