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

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


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

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

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

Combine like terms: 6 + 7 = 13
2 + 7x = 13 + -2x

Solving
2 + 7x = 13 + -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.
2 + 7x + 2x = 13 + -2x + 2x

Combine like terms: 7x + 2x = 9x
2 + 9x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 9x = 13 + 0
2 + 9x = 13

Add '-2' to each side of the equation.
2 + -2 + 9x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 13 + -2
9x = 13 + -2

Combine like terms: 13 + -2 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222

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