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

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


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

Reorder the terms:
2(-4 + 3x) + -3(x + -1) = 5
(-4 * 2 + 3x * 2) + -3(x + -1) = 5
(-8 + 6x) + -3(x + -1) = 5

Reorder the terms:
-8 + 6x + -3(-1 + x) = 5
-8 + 6x + (-1 * -3 + x * -3) = 5
-8 + 6x + (3 + -3x) = 5

Reorder the terms:
-8 + 3 + 6x + -3x = 5

Combine like terms: -8 + 3 = -5
-5 + 6x + -3x = 5

Combine like terms: 6x + -3x = 3x
-5 + 3x = 5

Solving
-5 + 3x = 5

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 5 + 5
3x = 5 + 5

Combine like terms: 5 + 5 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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