4(x+2)-8x-5=-3+9-2(x+6)

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Solution for 4(x+2)-8x-5=-3+9-2(x+6) equation:


Simplifying
4(x + 2) + -8x + -5 = -3 + 9 + -2(x + 6)

Reorder the terms:
4(2 + x) + -8x + -5 = -3 + 9 + -2(x + 6)
(2 * 4 + x * 4) + -8x + -5 = -3 + 9 + -2(x + 6)
(8 + 4x) + -8x + -5 = -3 + 9 + -2(x + 6)

Reorder the terms:
8 + -5 + 4x + -8x = -3 + 9 + -2(x + 6)

Combine like terms: 8 + -5 = 3
3 + 4x + -8x = -3 + 9 + -2(x + 6)

Combine like terms: 4x + -8x = -4x
3 + -4x = -3 + 9 + -2(x + 6)

Reorder the terms:
3 + -4x = -3 + 9 + -2(6 + x)
3 + -4x = -3 + 9 + (6 * -2 + x * -2)
3 + -4x = -3 + 9 + (-12 + -2x)

Combine like terms: -3 + 9 = 6
3 + -4x = 6 + -12 + -2x

Combine like terms: 6 + -12 = -6
3 + -4x = -6 + -2x

Solving
3 + -4x = -6 + -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.
3 + -4x + 2x = -6 + -2x + 2x

Combine like terms: -4x + 2x = -2x
3 + -2x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + -2x = -6 + 0
3 + -2x = -6

Add '-3' to each side of the equation.
3 + -3 + -2x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -6 + -3
-2x = -6 + -3

Combine like terms: -6 + -3 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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