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

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


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

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

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

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

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

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

Reorder the terms:
3 + -4x = 9 + -12 + 3x + -2x

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

Combine like terms: 3x + -2x = 1x
3 + -4x = -3 + 1x

Solving
3 + -4x = -3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + -4x + -1x = -3 + 1x + -1x

Combine like terms: -4x + -1x = -5x
3 + -5x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
3 + -5x = -3 + 0
3 + -5x = -3

Add '-3' to each side of the equation.
3 + -3 + -5x = -3 + -3

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

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

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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