-x+11=5+12-(7x-2)

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Solution for -x+11=5+12-(7x-2) equation:


Simplifying
-1x + 11 = 5 + 12 + -1(7x + -2)

Reorder the terms:
11 + -1x = 5 + 12 + -1(7x + -2)

Reorder the terms:
11 + -1x = 5 + 12 + -1(-2 + 7x)
11 + -1x = 5 + 12 + (-2 * -1 + 7x * -1)
11 + -1x = 5 + 12 + (2 + -7x)

Combine like terms: 5 + 12 = 17
11 + -1x = 17 + 2 + -7x

Combine like terms: 17 + 2 = 19
11 + -1x = 19 + -7x

Solving
11 + -1x = 19 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
11 + -1x + 7x = 19 + -7x + 7x

Combine like terms: -1x + 7x = 6x
11 + 6x = 19 + -7x + 7x

Combine like terms: -7x + 7x = 0
11 + 6x = 19 + 0
11 + 6x = 19

Add '-11' to each side of the equation.
11 + -11 + 6x = 19 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = 19 + -11
6x = 19 + -11

Combine like terms: 19 + -11 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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