8(x+2)=2(2x-5)

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Solution for 8(x+2)=2(2x-5) equation:


Simplifying
8(x + 2) = 2(2x + -5)

Reorder the terms:
8(2 + x) = 2(2x + -5)
(2 * 8 + x * 8) = 2(2x + -5)
(16 + 8x) = 2(2x + -5)

Reorder the terms:
16 + 8x = 2(-5 + 2x)
16 + 8x = (-5 * 2 + 2x * 2)
16 + 8x = (-10 + 4x)

Solving
16 + 8x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + 8x + -4x = -10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
16 + 4x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 4x = -10 + 0
16 + 4x = -10

Add '-16' to each side of the equation.
16 + -16 + 4x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = -10 + -16
4x = -10 + -16

Combine like terms: -10 + -16 = -26
4x = -26

Divide each side by '4'.
x = -6.5

Simplifying
x = -6.5

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