2(x+4)+3=6x+2(x+3)

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Solution for 2(x+4)+3=6x+2(x+3) equation: 


Simplifying
2(x + 4) + 3 = 6x + 2(x + 3)

Reorder the terms:
2(4 + x) + 3 = 6x + 2(x + 3)
(4 * 2 + x * 2) + 3 = 6x + 2(x + 3)
(8 + 2x) + 3 = 6x + 2(x + 3)

Reorder the terms:
8 + 3 + 2x = 6x + 2(x + 3)

Combine like terms: 8 + 3 = 11
11 + 2x = 6x + 2(x + 3)

Reorder the terms:
11 + 2x = 6x + 2(3 + x)
11 + 2x = 6x + (3 * 2 + x * 2)
11 + 2x = 6x + (6 + 2x)

Reorder the terms:
11 + 2x = 6 + 6x + 2x

Combine like terms: 6x + 2x = 8x
11 + 2x = 6 + 8x

Solving
11 + 2x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
11 + 2x + -8x = 6 + 8x + -8x

Combine like terms: 2x + -8x = -6x
11 + -6x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -6x = 6 + 0
11 + -6x = 6

Add '-11' to each side of the equation.
11 + -11 + -6x = 6 + -11

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

Combine like terms: 6 + -11 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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