3(x-7)-(6-4x)=6x

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Solution for 3(x-7)-(6-4x)=6x equation:


Simplifying
3(x + -7) + -1(6 + -4x) = 6x

Reorder the terms:
3(-7 + x) + -1(6 + -4x) = 6x
(-7 * 3 + x * 3) + -1(6 + -4x) = 6x
(-21 + 3x) + -1(6 + -4x) = 6x
-21 + 3x + (6 * -1 + -4x * -1) = 6x
-21 + 3x + (-6 + 4x) = 6x

Reorder the terms:
-21 + -6 + 3x + 4x = 6x

Combine like terms: -21 + -6 = -27
-27 + 3x + 4x = 6x

Combine like terms: 3x + 4x = 7x
-27 + 7x = 6x

Solving
-27 + 7x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-27 + 7x + -6x = 6x + -6x

Combine like terms: 7x + -6x = 1x
-27 + 1x = 6x + -6x

Combine like terms: 6x + -6x = 0
-27 + 1x = 0

Add '27' to each side of the equation.
-27 + 27 + 1x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = 0 + 27
1x = 0 + 27

Combine like terms: 0 + 27 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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