(2x+3)6=(4x-2)4

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Solution for (2x+3)6=(4x-2)4 equation:


Simplifying
(2x + 3) * 6 = (4x + -2) * 4

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

Reorder the terms for easier multiplication:
6(3 + 2x) = (4x + -2) * 4
(3 * 6 + 2x * 6) = (4x + -2) * 4
(18 + 12x) = (4x + -2) * 4

Reorder the terms:
18 + 12x = (-2 + 4x) * 4

Reorder the terms for easier multiplication:
18 + 12x = 4(-2 + 4x)
18 + 12x = (-2 * 4 + 4x * 4)
18 + 12x = (-8 + 16x)

Solving
18 + 12x = -8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
18 + 12x + -16x = -8 + 16x + -16x

Combine like terms: 12x + -16x = -4x
18 + -4x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
18 + -4x = -8 + 0
18 + -4x = -8

Add '-18' to each side of the equation.
18 + -18 + -4x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -8 + -18
-4x = -8 + -18

Combine like terms: -8 + -18 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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