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

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


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

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

Reorder the terms:
6 + 7x + -3x = x + 6

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

Reorder the terms:
6 + 4x = 6 + x

Add '-6' to each side of the equation.
6 + -6 + 4x = 6 + -6 + x

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

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

Solving
4x = 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.
4x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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