2(4x+16)=5(2x+4)

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Solution for 2(4x+16)=5(2x+4) equation: 


Simplifying
2(4x + 16) = 5(2x + 4)

Reorder the terms:
2(16 + 4x) = 5(2x + 4)
(16 * 2 + 4x * 2) = 5(2x + 4)
(32 + 8x) = 5(2x + 4)

Reorder the terms:
32 + 8x = 5(4 + 2x)
32 + 8x = (4 * 5 + 2x * 5)
32 + 8x = (20 + 10x)

Solving
32 + 8x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
32 + 8x + -10x = 20 + 10x + -10x

Combine like terms: 8x + -10x = -2x
32 + -2x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
32 + -2x = 20 + 0
32 + -2x = 20

Add '-32' to each side of the equation.
32 + -32 + -2x = 20 + -32

Combine like terms: 32 + -32 = 0
0 + -2x = 20 + -32
-2x = 20 + -32

Combine like terms: 20 + -32 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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