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

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


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

Reorder the terms:
2(4 + x) = 3(2x + 3)
(4 * 2 + x * 2) = 3(2x + 3)
(8 + 2x) = 3(2x + 3)

Reorder the terms:
8 + 2x = 3(3 + 2x)
8 + 2x = (3 * 3 + 2x * 3)
8 + 2x = (9 + 6x)

Solving
8 + 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.
8 + 2x + -6x = 9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
8 + -4x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -4x = 9 + 0
8 + -4x = 9

Add '-8' to each side of the equation.
8 + -8 + -4x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 9 + -8
-4x = 9 + -8

Combine like terms: 9 + -8 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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