5+2(x+3)=23-4(3x-5)

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Solution for 5+2(x+3)=23-4(3x-5) equation: 


Simplifying
5 + 2(x + 3) = 23 + -4(3x + -5)

Reorder the terms:
5 + 2(3 + x) = 23 + -4(3x + -5)
5 + (3 * 2 + x * 2) = 23 + -4(3x + -5)
5 + (6 + 2x) = 23 + -4(3x + -5)

Combine like terms: 5 + 6 = 11
11 + 2x = 23 + -4(3x + -5)

Reorder the terms:
11 + 2x = 23 + -4(-5 + 3x)
11 + 2x = 23 + (-5 * -4 + 3x * -4)
11 + 2x = 23 + (20 + -12x)

Combine like terms: 23 + 20 = 43
11 + 2x = 43 + -12x

Solving
11 + 2x = 43 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
11 + 2x + 12x = 43 + -12x + 12x

Combine like terms: 2x + 12x = 14x
11 + 14x = 43 + -12x + 12x

Combine like terms: -12x + 12x = 0
11 + 14x = 43 + 0
11 + 14x = 43

Add '-11' to each side of the equation.
11 + -11 + 14x = 43 + -11

Combine like terms: 11 + -11 = 0
0 + 14x = 43 + -11
14x = 43 + -11

Combine like terms: 43 + -11 = 32
14x = 32

Divide each side by '14'.
x = 2.285714286

Simplifying
x = 2.285714286

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