2(1+6x)+3(x+5)=x+4+7

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Solution for 2(1+6x)+3(x+5)=x+4+7 equation: 


Simplifying
2(1 + 6x) + 3(x + 5) = x + 4 + 7
(1 * 2 + 6x * 2) + 3(x + 5) = x + 4 + 7
(2 + 12x) + 3(x + 5) = x + 4 + 7

Reorder the terms:
2 + 12x + 3(5 + x) = x + 4 + 7
2 + 12x + (5 * 3 + x * 3) = x + 4 + 7
2 + 12x + (15 + 3x) = x + 4 + 7

Reorder the terms:
2 + 15 + 12x + 3x = x + 4 + 7

Combine like terms: 2 + 15 = 17
17 + 12x + 3x = x + 4 + 7

Combine like terms: 12x + 3x = 15x
17 + 15x = x + 4 + 7

Reorder the terms:
17 + 15x = 4 + 7 + x

Combine like terms: 4 + 7 = 11
17 + 15x = 11 + x

Solving
17 + 15x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
17 + 15x + -1x = 11 + x + -1x

Combine like terms: 15x + -1x = 14x
17 + 14x = 11 + x + -1x

Combine like terms: x + -1x = 0
17 + 14x = 11 + 0
17 + 14x = 11

Add '-17' to each side of the equation.
17 + -17 + 14x = 11 + -17

Combine like terms: 17 + -17 = 0
0 + 14x = 11 + -17
14x = 11 + -17

Combine like terms: 11 + -17 = -6
14x = -6

Divide each side by '14'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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