3(2x-4)-(3x-5)=0

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Solution for 3(2x-4)-(3x-5)=0 equation:


Simplifying
3(2x + -4) + -1(3x + -5) = 0

Reorder the terms:
3(-4 + 2x) + -1(3x + -5) = 0
(-4 * 3 + 2x * 3) + -1(3x + -5) = 0
(-12 + 6x) + -1(3x + -5) = 0

Reorder the terms:
-12 + 6x + -1(-5 + 3x) = 0
-12 + 6x + (-5 * -1 + 3x * -1) = 0
-12 + 6x + (5 + -3x) = 0

Reorder the terms:
-12 + 5 + 6x + -3x = 0

Combine like terms: -12 + 5 = -7
-7 + 6x + -3x = 0

Combine like terms: 6x + -3x = 3x
-7 + 3x = 0

Solving
-7 + 3x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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