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

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


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

Remove parenthesis around (4x)
2 * 4x + 2(8) = 2(3x) + 2(3x)

Multiply 2 * 4
8x + 2(8) = 2(3x) + 2(3x)

Multiply 2 * 8
8x + 16 = 2(3x) + 2(3x)

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

Remove parenthesis around (3x)
16 + 8x = 2 * 3x + 2(3x)

Multiply 2 * 3
16 + 8x = 6x + 2(3x)

Remove parenthesis around (3x)
16 + 8x = 6x + 2 * 3x

Multiply 2 * 3
16 + 8x = 6x + 6x

Combine like terms: 6x + 6x = 12x
16 + 8x = 12x

Solving
16 + 8x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
16 + 8x + -12x = 12x + -12x

Combine like terms: 8x + -12x = -4x
16 + -4x = 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -4x = 0

Add '-16' to each side of the equation.
16 + -16 + -4x = 0 + -16

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

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

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

Simplifying
x = 4

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