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

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


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

Reorder the terms:
3(2 + x) + -2(5x + 4) = 12
(2 * 3 + x * 3) + -2(5x + 4) = 12
(6 + 3x) + -2(5x + 4) = 12

Reorder the terms:
6 + 3x + -2(4 + 5x) = 12
6 + 3x + (4 * -2 + 5x * -2) = 12
6 + 3x + (-8 + -10x) = 12

Reorder the terms:
6 + -8 + 3x + -10x = 12

Combine like terms: 6 + -8 = -2
-2 + 3x + -10x = 12

Combine like terms: 3x + -10x = -7x
-2 + -7x = 12

Solving
-2 + -7x = 12

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 12 + 2
-7x = 12 + 2

Combine like terms: 12 + 2 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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