2-6-(3-x)=21-7x

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Solution for 2-6-(3-x)=21-7x equation:


Simplifying
2 + -6 + -1(3 + -1x) = 21 + -7x
2 + -6 + (3 * -1 + -1x * -1) = 21 + -7x
2 + -6 + (-3 + 1x) = 21 + -7x

Combine like terms: 2 + -6 = -4
-4 + -3 + 1x = 21 + -7x

Combine like terms: -4 + -3 = -7
-7 + 1x = 21 + -7x

Solving
-7 + 1x = 21 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-7 + 1x + 7x = 21 + -7x + 7x

Combine like terms: 1x + 7x = 8x
-7 + 8x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 8x = 21 + 0
-7 + 8x = 21

Add '7' to each side of the equation.
-7 + 7 + 8x = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 21 + 7
8x = 21 + 7

Combine like terms: 21 + 7 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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