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

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


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

Reorder the terms:
2(4 + 3x) = 4(7 + -4x)
(4 * 2 + 3x * 2) = 4(7 + -4x)
(8 + 6x) = 4(7 + -4x)
8 + 6x = (7 * 4 + -4x * 4)
8 + 6x = (28 + -16x)

Solving
8 + 6x = 28 + -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.
8 + 6x + 16x = 28 + -16x + 16x

Combine like terms: 6x + 16x = 22x
8 + 22x = 28 + -16x + 16x

Combine like terms: -16x + 16x = 0
8 + 22x = 28 + 0
8 + 22x = 28

Add '-8' to each side of the equation.
8 + -8 + 22x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 22x = 28 + -8
22x = 28 + -8

Combine like terms: 28 + -8 = 20
22x = 20

Divide each side by '22'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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