-4x+11=5+6(-x+3)

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Solution for -4x+11=5+6(-x+3) equation: 


Simplifying
-4x + 11 = 5 + 6(-1x + 3)

Reorder the terms:
11 + -4x = 5 + 6(-1x + 3)

Reorder the terms:
11 + -4x = 5 + 6(3 + -1x)
11 + -4x = 5 + (3 * 6 + -1x * 6)
11 + -4x = 5 + (18 + -6x)

Combine like terms: 5 + 18 = 23
11 + -4x = 23 + -6x

Solving
11 + -4x = 23 + -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.
11 + -4x + 6x = 23 + -6x + 6x

Combine like terms: -4x + 6x = 2x
11 + 2x = 23 + -6x + 6x

Combine like terms: -6x + 6x = 0
11 + 2x = 23 + 0
11 + 2x = 23

Add '-11' to each side of the equation.
11 + -11 + 2x = 23 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 23 + -11
2x = 23 + -11

Combine like terms: 23 + -11 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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