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

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


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

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

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

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

Combine like terms: 12 + 2 = 14
11 + x = 14 + 5x + -7x

Combine like terms: 5x + -7x = -2x
11 + x = 14 + -2x

Solving
11 + x = 14 + -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.
11 + x + 2x = 14 + -2x + 2x

Combine like terms: x + 2x = 3x
11 + 3x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 3x = 14 + 0
11 + 3x = 14

Add '-11' to each side of the equation.
11 + -11 + 3x = 14 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 14 + -11
3x = 14 + -11

Combine like terms: 14 + -11 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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