2+(3x+4)=5(x+1)+9

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Solution for 2+(3x+4)=5(x+1)+9 equation:


Simplifying
2 + (3x + 4) = 5(x + 1) + 9

Reorder the terms:
2 + (4 + 3x) = 5(x + 1) + 9

Remove parenthesis around (4 + 3x)
2 + 4 + 3x = 5(x + 1) + 9

Combine like terms: 2 + 4 = 6
6 + 3x = 5(x + 1) + 9

Reorder the terms:
6 + 3x = 5(1 + x) + 9
6 + 3x = (1 * 5 + x * 5) + 9
6 + 3x = (5 + 5x) + 9

Reorder the terms:
6 + 3x = 5 + 9 + 5x

Combine like terms: 5 + 9 = 14
6 + 3x = 14 + 5x

Solving
6 + 3x = 14 + 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.
6 + 3x + -5x = 14 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = 14 + 0
6 + -2x = 14

Add '-6' to each side of the equation.
6 + -6 + -2x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 14 + -6
-2x = 14 + -6

Combine like terms: 14 + -6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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