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

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


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

Reorder the terms:
3(8 + 2x) + 4x = 4(2x + 3)
(8 * 3 + 2x * 3) + 4x = 4(2x + 3)
(24 + 6x) + 4x = 4(2x + 3)

Combine like terms: 6x + 4x = 10x
24 + 10x = 4(2x + 3)

Reorder the terms:
24 + 10x = 4(3 + 2x)
24 + 10x = (3 * 4 + 2x * 4)
24 + 10x = (12 + 8x)

Solving
24 + 10x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 10x + -8x = 12 + 8x + -8x

Combine like terms: 10x + -8x = 2x
24 + 2x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + 2x = 12 + 0
24 + 2x = 12

Add '-24' to each side of the equation.
24 + -24 + 2x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 12 + -24
2x = 12 + -24

Combine like terms: 12 + -24 = -12
2x = -12

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

Simplifying
x = -6

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