3(x-7)=6(x+6)-x

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Solution for 3(x-7)=6(x+6)-x equation:


Simplifying
3(x + -7) = 6(x + 6) + -1x

Reorder the terms:
3(-7 + x) = 6(x + 6) + -1x
(-7 * 3 + x * 3) = 6(x + 6) + -1x
(-21 + 3x) = 6(x + 6) + -1x

Reorder the terms:
-21 + 3x = 6(6 + x) + -1x
-21 + 3x = (6 * 6 + x * 6) + -1x
-21 + 3x = (36 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
-21 + 3x = 36 + 5x

Solving
-21 + 3x = 36 + 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.
-21 + 3x + -5x = 36 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-21 + -2x = 36 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + -2x = 36 + 0
-21 + -2x = 36

Add '21' to each side of the equation.
-21 + 21 + -2x = 36 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = 36 + 21
-2x = 36 + 21

Combine like terms: 36 + 21 = 57
-2x = 57

Divide each side by '-2'.
x = -28.5

Simplifying
x = -28.5

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