8(x+4)=3(x+16)

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Solution for 8(x+4)=3(x+16) equation: 


Simplifying
8(x + 4) = 3(x + 16)

Reorder the terms:
8(4 + x) = 3(x + 16)
(4 * 8 + x * 8) = 3(x + 16)
(32 + 8x) = 3(x + 16)

Reorder the terms:
32 + 8x = 3(16 + x)
32 + 8x = (16 * 3 + x * 3)
32 + 8x = (48 + 3x)

Solving
32 + 8x = 48 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
32 + 8x + -3x = 48 + 3x + -3x

Combine like terms: 8x + -3x = 5x
32 + 5x = 48 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 5x = 48 + 0
32 + 5x = 48

Add '-32' to each side of the equation.
32 + -32 + 5x = 48 + -32

Combine like terms: 32 + -32 = 0
0 + 5x = 48 + -32
5x = 48 + -32

Combine like terms: 48 + -32 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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