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

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


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

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

Reorder the terms:
6 + 8x = 8x + -3(3 + x)
6 + 8x = 8x + (3 * -3 + x * -3)
6 + 8x = 8x + (-9 + -3x)

Reorder the terms:
6 + 8x = -9 + 8x + -3x

Combine like terms: 8x + -3x = 5x
6 + 8x = -9 + 5x

Solving
6 + 8x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 8x + -5x = -9 + 5x + -5x

Combine like terms: 8x + -5x = 3x
6 + 3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 3x = -9 + 0
6 + 3x = -9

Add '-6' to each side of the equation.
6 + -6 + 3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -9 + -6
3x = -9 + -6

Combine like terms: -9 + -6 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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