x+(3x-3)+(4x-4)=x

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Solution for x+(3x-3)+(4x-4)=x equation:


Simplifying
x + (3x + -3) + (4x + -4) = x

Reorder the terms:
x + (-3 + 3x) + (4x + -4) = x

Remove parenthesis around (-3 + 3x)
x + -3 + 3x + (4x + -4) = x

Reorder the terms:
x + -3 + 3x + (-4 + 4x) = x

Remove parenthesis around (-4 + 4x)
x + -3 + 3x + -4 + 4x = x

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

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

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

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

Solving
-7 + 8x = x

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.
-7 + 8x + -1x = x + -1x

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

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

Add '7' to each side of the equation.
-7 + 7 + 7x = 0 + 7

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

Combine like terms: 0 + 7 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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