(X-3)-(x-7)=7x

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Solution for (X-3)-(x-7)=7x equation:


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

Reorder the terms:
(-3 + X) + -1(x + -7) = 7x

Remove parenthesis around (-3 + X)
-3 + X + -1(x + -7) = 7x

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

Reorder the terms:
-3 + 7 + X + -1x = 7x

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

Solving
4 + X + -1x = 7x

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X + -4 + -1x = -4 + 7x

Reorder the terms:
4 + -4 + X + -1x = -4 + 7x

Combine like terms: 4 + -4 = 0
0 + X + -1x = -4 + 7x
X + -1x = -4 + 7x

Add 'x' to each side of the equation.
X + -1x + x = -4 + 7x + x

Combine like terms: -1x + x = 0
X + 0 = -4 + 7x + x
X = -4 + 7x + x

Combine like terms: 7x + x = 8x
X = -4 + 8x

Simplifying
X = -4 + 8x

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