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

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


Simplifying
3x + -2(x + 6) + -3 = 3(x + 8) + -8x

Reorder the terms:
3x + -2(6 + x) + -3 = 3(x + 8) + -8x
3x + (6 * -2 + x * -2) + -3 = 3(x + 8) + -8x
3x + (-12 + -2x) + -3 = 3(x + 8) + -8x

Reorder the terms:
-12 + -3 + 3x + -2x = 3(x + 8) + -8x

Combine like terms: -12 + -3 = -15
-15 + 3x + -2x = 3(x + 8) + -8x

Combine like terms: 3x + -2x = 1x
-15 + 1x = 3(x + 8) + -8x

Reorder the terms:
-15 + 1x = 3(8 + x) + -8x
-15 + 1x = (8 * 3 + x * 3) + -8x
-15 + 1x = (24 + 3x) + -8x

Combine like terms: 3x + -8x = -5x
-15 + 1x = 24 + -5x

Solving
-15 + 1x = 24 + -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.
-15 + 1x + 5x = 24 + -5x + 5x

Combine like terms: 1x + 5x = 6x
-15 + 6x = 24 + -5x + 5x

Combine like terms: -5x + 5x = 0
-15 + 6x = 24 + 0
-15 + 6x = 24

Add '15' to each side of the equation.
-15 + 15 + 6x = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 24 + 15
6x = 24 + 15

Combine like terms: 24 + 15 = 39
6x = 39

Divide each side by '6'.
x = 6.5

Simplifying
x = 6.5

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