8+2(3x+4)=2(x+16)

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Solution for 8+2(3x+4)=2(x+16) equation:


Simplifying
8 + 2(3x + 4) = 2(x + 16)

Reorder the terms:
8 + 2(4 + 3x) = 2(x + 16)
8 + (4 * 2 + 3x * 2) = 2(x + 16)
8 + (8 + 6x) = 2(x + 16)

Combine like terms: 8 + 8 = 16
16 + 6x = 2(x + 16)

Reorder the terms:
16 + 6x = 2(16 + x)
16 + 6x = (16 * 2 + x * 2)
16 + 6x = (32 + 2x)

Solving
16 + 6x = 32 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 6x + -2x = 32 + 2x + -2x

Combine like terms: 6x + -2x = 4x
16 + 4x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 4x = 32 + 0
16 + 4x = 32

Add '-16' to each side of the equation.
16 + -16 + 4x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 32 + -16
4x = 32 + -16

Combine like terms: 32 + -16 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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