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

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


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

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

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

Combine like terms: 6 + 7 = 13
7 + 6x = 13 + -3x

Solving
7 + 6x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 6x + 3x = 13 + -3x + 3x

Combine like terms: 6x + 3x = 9x
7 + 9x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 9x = 13 + 0
7 + 9x = 13

Add '-7' to each side of the equation.
7 + -7 + 9x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 13 + -7
9x = 13 + -7

Combine like terms: 13 + -7 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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