2(3x+4)=5(x-4)

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Solution for 2(3x+4)=5(x-4) equation:


Simplifying
2(3x + 4) = 5(x + -4)

Reorder the terms:
2(4 + 3x) = 5(x + -4)
(4 * 2 + 3x * 2) = 5(x + -4)
(8 + 6x) = 5(x + -4)

Reorder the terms:
8 + 6x = 5(-4 + x)
8 + 6x = (-4 * 5 + x * 5)
8 + 6x = (-20 + 5x)

Solving
8 + 6x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 6x + -5x = -20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
8 + 1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 1x = -20 + 0
8 + 1x = -20

Add '-8' to each side of the equation.
8 + -8 + 1x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -20 + -8
1x = -20 + -8

Combine like terms: -20 + -8 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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