3(2x-1)-4(3x-5)=12

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Solution for 3(2x-1)-4(3x-5)=12 equation:


Simplifying
3(2x + -1) + -4(3x + -5) = 12

Reorder the terms:
3(-1 + 2x) + -4(3x + -5) = 12
(-1 * 3 + 2x * 3) + -4(3x + -5) = 12
(-3 + 6x) + -4(3x + -5) = 12

Reorder the terms:
-3 + 6x + -4(-5 + 3x) = 12
-3 + 6x + (-5 * -4 + 3x * -4) = 12
-3 + 6x + (20 + -12x) = 12

Reorder the terms:
-3 + 20 + 6x + -12x = 12

Combine like terms: -3 + 20 = 17
17 + 6x + -12x = 12

Combine like terms: 6x + -12x = -6x
17 + -6x = 12

Solving
17 + -6x = 12

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -6x = 12 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 12 + -17
-6x = 12 + -17

Combine like terms: 12 + -17 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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