11-4(x+4)=13-6(x+2)

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Solution for 11-4(x+4)=13-6(x+2) equation: 


Simplifying
11 + -4(x + 4) = 13 + -6(x + 2)

Reorder the terms:
11 + -4(4 + x) = 13 + -6(x + 2)
11 + (4 * -4 + x * -4) = 13 + -6(x + 2)
11 + (-16 + -4x) = 13 + -6(x + 2)

Combine like terms: 11 + -16 = -5
-5 + -4x = 13 + -6(x + 2)

Reorder the terms:
-5 + -4x = 13 + -6(2 + x)
-5 + -4x = 13 + (2 * -6 + x * -6)
-5 + -4x = 13 + (-12 + -6x)

Combine like terms: 13 + -12 = 1
-5 + -4x = 1 + -6x

Solving
-5 + -4x = 1 + -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.
-5 + -4x + 6x = 1 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-5 + 2x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 2x = 1 + 0
-5 + 2x = 1

Add '5' to each side of the equation.
-5 + 5 + 2x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 1 + 5
2x = 1 + 5

Combine like terms: 1 + 5 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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