3+2(4+7x)=5(x+1)+12

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Solution for 3+2(4+7x)=5(x+1)+12 equation: 


Simplifying
3 + 2(4 + 7x) = 5(x + 1) + 12
3 + (4 * 2 + 7x * 2) = 5(x + 1) + 12
3 + (8 + 14x) = 5(x + 1) + 12

Combine like terms: 3 + 8 = 11
11 + 14x = 5(x + 1) + 12

Reorder the terms:
11 + 14x = 5(1 + x) + 12
11 + 14x = (1 * 5 + x * 5) + 12
11 + 14x = (5 + 5x) + 12

Reorder the terms:
11 + 14x = 5 + 12 + 5x

Combine like terms: 5 + 12 = 17
11 + 14x = 17 + 5x

Solving
11 + 14x = 17 + 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.
11 + 14x + -5x = 17 + 5x + -5x

Combine like terms: 14x + -5x = 9x
11 + 9x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + 9x = 17 + 0
11 + 9x = 17

Add '-11' to each side of the equation.
11 + -11 + 9x = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 9x = 17 + -11
9x = 17 + -11

Combine like terms: 17 + -11 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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