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

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


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

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

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

Combine like terms: 3x + 8x = 11x
-10 + 11x = 12

Solving
-10 + 11x = 12

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 11x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 12 + 10
11x = 12 + 10

Combine like terms: 12 + 10 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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