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

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


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

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

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

Remove parenthesis around (4 + x)
24 + 8x = 4 + x + 2x

Combine like terms: x + 2x = 3x
24 + 8x = 4 + 3x

Solving
24 + 8x = 4 + 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.
24 + 8x + -3x = 4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
24 + 5x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 5x = 4 + 0
24 + 5x = 4

Add '-24' to each side of the equation.
24 + -24 + 5x = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 4 + -24
5x = 4 + -24

Combine like terms: 4 + -24 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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