3(x+4)+2(5-2x)=12

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


Simplifying
3(x + 4) + 2(5 + -2x) = 12

Reorder the terms:
3(4 + x) + 2(5 + -2x) = 12
(4 * 3 + x * 3) + 2(5 + -2x) = 12
(12 + 3x) + 2(5 + -2x) = 12
12 + 3x + (5 * 2 + -2x * 2) = 12
12 + 3x + (10 + -4x) = 12

Reorder the terms:
12 + 10 + 3x + -4x = 12

Combine like terms: 12 + 10 = 22
22 + 3x + -4x = 12

Combine like terms: 3x + -4x = -1x
22 + -1x = 12

Solving
22 + -1x = 12

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 12 + -22
-1x = 12 + -22

Combine like terms: 12 + -22 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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