2(3x-7)-(6-x)=4-(6-x)

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Solution for 2(3x-7)-(6-x)=4-(6-x) equation:


Simplifying
2(3x + -7) + -1(6 + -1x) = 4 + -1(6 + -1x)

Reorder the terms:
2(-7 + 3x) + -1(6 + -1x) = 4 + -1(6 + -1x)
(-7 * 2 + 3x * 2) + -1(6 + -1x) = 4 + -1(6 + -1x)
(-14 + 6x) + -1(6 + -1x) = 4 + -1(6 + -1x)
-14 + 6x + (6 * -1 + -1x * -1) = 4 + -1(6 + -1x)
-14 + 6x + (-6 + 1x) = 4 + -1(6 + -1x)

Reorder the terms:
-14 + -6 + 6x + 1x = 4 + -1(6 + -1x)

Combine like terms: -14 + -6 = -20
-20 + 6x + 1x = 4 + -1(6 + -1x)

Combine like terms: 6x + 1x = 7x
-20 + 7x = 4 + -1(6 + -1x)
-20 + 7x = 4 + (6 * -1 + -1x * -1)
-20 + 7x = 4 + (-6 + 1x)

Combine like terms: 4 + -6 = -2
-20 + 7x = -2 + 1x

Solving
-20 + 7x = -2 + 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.
-20 + 7x + -1x = -2 + 1x + -1x

Combine like terms: 7x + -1x = 6x
-20 + 6x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-20 + 6x = -2 + 0
-20 + 6x = -2

Add '20' to each side of the equation.
-20 + 20 + 6x = -2 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -2 + 20
6x = -2 + 20

Combine like terms: -2 + 20 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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