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

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


Simplifying
x + 4x + 8(3 + -1x) = 6x + 5 + -1(2 + -1x) + 2x
x + 4x + (3 * 8 + -1x * 8) = 6x + 5 + -1(2 + -1x) + 2x
x + 4x + (24 + -8x) = 6x + 5 + -1(2 + -1x) + 2x

Reorder the terms:
24 + x + 4x + -8x = 6x + 5 + -1(2 + -1x) + 2x

Combine like terms: x + 4x = 5x
24 + 5x + -8x = 6x + 5 + -1(2 + -1x) + 2x

Combine like terms: 5x + -8x = -3x
24 + -3x = 6x + 5 + -1(2 + -1x) + 2x
24 + -3x = 6x + 5 + (2 * -1 + -1x * -1) + 2x
24 + -3x = 6x + 5 + (-2 + 1x) + 2x

Reorder the terms:
24 + -3x = 5 + -2 + 6x + 1x + 2x

Combine like terms: 5 + -2 = 3
24 + -3x = 3 + 6x + 1x + 2x

Combine like terms: 6x + 1x = 7x
24 + -3x = 3 + 7x + 2x

Combine like terms: 7x + 2x = 9x
24 + -3x = 3 + 9x

Solving
24 + -3x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
24 + -3x + -9x = 3 + 9x + -9x

Combine like terms: -3x + -9x = -12x
24 + -12x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -12x = 3 + 0
24 + -12x = 3

Add '-24' to each side of the equation.
24 + -24 + -12x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + -12x = 3 + -24
-12x = 3 + -24

Combine like terms: 3 + -24 = -21
-12x = -21

Divide each side by '-12'.
x = 1.75

Simplifying
x = 1.75

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