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

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


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

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

Reorder the terms:
8 + 6x = 5(-2 + -4x)
8 + 6x = (-2 * 5 + -4x * 5)
8 + 6x = (-10 + -20x)

Solving
8 + 6x = -10 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
8 + 6x + 20x = -10 + -20x + 20x

Combine like terms: 6x + 20x = 26x
8 + 26x = -10 + -20x + 20x

Combine like terms: -20x + 20x = 0
8 + 26x = -10 + 0
8 + 26x = -10

Add '-8' to each side of the equation.
8 + -8 + 26x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 26x = -10 + -8
26x = -10 + -8

Combine like terms: -10 + -8 = -18
26x = -18

Divide each side by '26'.
x = -0.6923076923

Simplifying
x = -0.6923076923

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