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

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


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

Reorder the terms:
6 + 7x = 3 + -1(2x + -6)

Reorder the terms:
6 + 7x = 3 + -1(-6 + 2x)
6 + 7x = 3 + (-6 * -1 + 2x * -1)
6 + 7x = 3 + (6 + -2x)

Combine like terms: 3 + 6 = 9
6 + 7x = 9 + -2x

Solving
6 + 7x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 7x + 2x = 9 + -2x + 2x

Combine like terms: 7x + 2x = 9x
6 + 9x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 9x = 9 + 0
6 + 9x = 9

Add '-6' to each side of the equation.
6 + -6 + 9x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 9 + -6
9x = 9 + -6

Combine like terms: 9 + -6 = 3
9x = 3

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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