2(4x+8)=3(2x-10)

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Solution for 2(4x+8)=3(2x-10) equation: 


Simplifying
2(4x + 8) = 3(2x + -10)

Reorder the terms:
2(8 + 4x) = 3(2x + -10)
(8 * 2 + 4x * 2) = 3(2x + -10)
(16 + 8x) = 3(2x + -10)

Reorder the terms:
16 + 8x = 3(-10 + 2x)
16 + 8x = (-10 * 3 + 2x * 3)
16 + 8x = (-30 + 6x)

Solving
16 + 8x = -30 + 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.
16 + 8x + -6x = -30 + 6x + -6x

Combine like terms: 8x + -6x = 2x
16 + 2x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = -30 + 0
16 + 2x = -30

Add '-16' to each side of the equation.
16 + -16 + 2x = -30 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -30 + -16
2x = -30 + -16

Combine like terms: -30 + -16 = -46
2x = -46

Divide each side by '2'.
x = -23

Simplifying
x = -23

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