2(4x+16)=(5x+10)

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Solution for 2(4x+16)=(5x+10) equation: 


Simplifying
2(4x + 16) = (5x + 10)

Reorder the terms:
2(16 + 4x) = (5x + 10)
(16 * 2 + 4x * 2) = (5x + 10)
(32 + 8x) = (5x + 10)

Reorder the terms:
32 + 8x = (10 + 5x)

Remove parenthesis around (10 + 5x)
32 + 8x = 10 + 5x

Solving
32 + 8x = 10 + 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.
32 + 8x + -5x = 10 + 5x + -5x

Combine like terms: 8x + -5x = 3x
32 + 3x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + 3x = 10 + 0
32 + 3x = 10

Add '-32' to each side of the equation.
32 + -32 + 3x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = 10 + -32
3x = 10 + -32

Combine like terms: 10 + -32 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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