2-[5-(9+5x)]=-(7-6x)

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Solution for 2-[5-(9+5x)]=-(7-6x) equation:


Simplifying
2 + -1[5 + -1(9 + 5x)] = -1(7 + -6x)
2 + -1[5 + (9 * -1 + 5x * -1)] = -1(7 + -6x)
2 + -1[5 + (-9 + -5x)] = -1(7 + -6x)

Combine like terms: 5 + -9 = -4
2 + -1[-4 + -5x] = -1(7 + -6x)
2 + [-4 * -1 + -5x * -1] = -1(7 + -6x)
2 + [4 + 5x] = -1(7 + -6x)

Combine like terms: 2 + 4 = 6
6 + 5x = -1(7 + -6x)
6 + 5x = (7 * -1 + -6x * -1)
6 + 5x = (-7 + 6x)

Solving
6 + 5x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 5x + -6x = -7 + 6x + -6x

Combine like terms: 5x + -6x = -1x
6 + -1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -1x = -7 + 0
6 + -1x = -7

Add '-6' to each side of the equation.
6 + -6 + -1x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -7 + -6
-1x = -7 + -6

Combine like terms: -7 + -6 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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