2(2x+4)=3(2x-7)

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Solution for 2(2x+4)=3(2x-7) equation:


Simplifying
2(2x + 4) = 3(2x + -7)

Reorder the terms:
2(4 + 2x) = 3(2x + -7)
(4 * 2 + 2x * 2) = 3(2x + -7)
(8 + 4x) = 3(2x + -7)

Reorder the terms:
8 + 4x = 3(-7 + 2x)
8 + 4x = (-7 * 3 + 2x * 3)
8 + 4x = (-21 + 6x)

Solving
8 + 4x = -21 + 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 + 4x + -6x = -21 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = -21 + 0
8 + -2x = -21

Add '-8' to each side of the equation.
8 + -8 + -2x = -21 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -21 + -8
-2x = -21 + -8

Combine like terms: -21 + -8 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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