3(x+12)+2(x-10)=50

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Solution for 3(x+12)+2(x-10)=50 equation: 


Simplifying
3(x + 12) + 2(x + -10) = 50

Reorder the terms:
3(12 + x) + 2(x + -10) = 50
(12 * 3 + x * 3) + 2(x + -10) = 50
(36 + 3x) + 2(x + -10) = 50

Reorder the terms:
36 + 3x + 2(-10 + x) = 50
36 + 3x + (-10 * 2 + x * 2) = 50
36 + 3x + (-20 + 2x) = 50

Reorder the terms:
36 + -20 + 3x + 2x = 50

Combine like terms: 36 + -20 = 16
16 + 3x + 2x = 50

Combine like terms: 3x + 2x = 5x
16 + 5x = 50

Solving
16 + 5x = 50

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 50 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 50 + -16
5x = 50 + -16

Combine like terms: 50 + -16 = 34
5x = 34

Divide each side by '5'.
x = 6.8

Simplifying
x = 6.8

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