(x-2)-(7x+4)=0

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Solution for (x-2)-(7x+4)=0 equation:


Simplifying
(x + -2) + -1(7x + 4) = 0

Reorder the terms:
(-2 + x) + -1(7x + 4) = 0

Remove parenthesis around (-2 + x)
-2 + x + -1(7x + 4) = 0

Reorder the terms:
-2 + x + -1(4 + 7x) = 0
-2 + x + (4 * -1 + 7x * -1) = 0
-2 + x + (-4 + -7x) = 0

Reorder the terms:
-2 + -4 + x + -7x = 0

Combine like terms: -2 + -4 = -6
-6 + x + -7x = 0

Combine like terms: x + -7x = -6x
-6 + -6x = 0

Solving
-6 + -6x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -6x = 0 + 6

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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