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

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


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

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

Reorder the terms:
8 + 2x = 4(-3 + 2x)
8 + 2x = (-3 * 4 + 2x * 4)
8 + 2x = (-12 + 8x)

Solving
8 + 2x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 2x + -8x = -12 + 8x + -8x

Combine like terms: 2x + -8x = -6x
8 + -6x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
8 + -6x = -12 + 0
8 + -6x = -12

Add '-8' to each side of the equation.
8 + -8 + -6x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -12 + -8
-6x = -12 + -8

Combine like terms: -12 + -8 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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