11-3(x+4)=13-5(x+2)

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Solution for 11-3(x+4)=13-5(x+2) equation: 


Simplifying
11 + -3(x + 4) = 13 + -5(x + 2)

Reorder the terms:
11 + -3(4 + x) = 13 + -5(x + 2)
11 + (4 * -3 + x * -3) = 13 + -5(x + 2)
11 + (-12 + -3x) = 13 + -5(x + 2)

Combine like terms: 11 + -12 = -1
-1 + -3x = 13 + -5(x + 2)

Reorder the terms:
-1 + -3x = 13 + -5(2 + x)
-1 + -3x = 13 + (2 * -5 + x * -5)
-1 + -3x = 13 + (-10 + -5x)

Combine like terms: 13 + -10 = 3
-1 + -3x = 3 + -5x

Solving
-1 + -3x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-1 + -3x + 5x = 3 + -5x + 5x

Combine like terms: -3x + 5x = 2x
-1 + 2x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1 + 2x = 3 + 0
-1 + 2x = 3

Add '1' to each side of the equation.
-1 + 1 + 2x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 3 + 1
2x = 3 + 1

Combine like terms: 3 + 1 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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