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

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


Simplifying
5 + 2(x + 3) = 3(2x + -4 + -1x)

Reorder the terms:
5 + 2(3 + x) = 3(2x + -4 + -1x)
5 + (3 * 2 + x * 2) = 3(2x + -4 + -1x)
5 + (6 + 2x) = 3(2x + -4 + -1x)

Combine like terms: 5 + 6 = 11
11 + 2x = 3(2x + -4 + -1x)

Reorder the terms:
11 + 2x = 3(-4 + 2x + -1x)

Combine like terms: 2x + -1x = 1x
11 + 2x = 3(-4 + 1x)
11 + 2x = (-4 * 3 + 1x * 3)
11 + 2x = (-12 + 3x)

Solving
11 + 2x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
11 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -1x = -12 + 0
11 + -1x = -12

Add '-11' to each side of the equation.
11 + -11 + -1x = -12 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -12 + -11
-1x = -12 + -11

Combine like terms: -12 + -11 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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