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

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


Simplifying
3(x + 7) + 2(x + 5) = 2x + 12

Reorder the terms:
3(7 + x) + 2(x + 5) = 2x + 12
(7 * 3 + x * 3) + 2(x + 5) = 2x + 12
(21 + 3x) + 2(x + 5) = 2x + 12

Reorder the terms:
21 + 3x + 2(5 + x) = 2x + 12
21 + 3x + (5 * 2 + x * 2) = 2x + 12
21 + 3x + (10 + 2x) = 2x + 12

Reorder the terms:
21 + 10 + 3x + 2x = 2x + 12

Combine like terms: 21 + 10 = 31
31 + 3x + 2x = 2x + 12

Combine like terms: 3x + 2x = 5x
31 + 5x = 2x + 12

Reorder the terms:
31 + 5x = 12 + 2x

Solving
31 + 5x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
31 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
31 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
31 + 3x = 12 + 0
31 + 3x = 12

Add '-31' to each side of the equation.
31 + -31 + 3x = 12 + -31

Combine like terms: 31 + -31 = 0
0 + 3x = 12 + -31
3x = 12 + -31

Combine like terms: 12 + -31 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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