3(2x-1)-(x-5)=6

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Solution for 3(2x-1)-(x-5)=6 equation:


Simplifying
3(2x + -1) + -1(x + -5) = 6

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

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

Reorder the terms:
-3 + 5 + 6x + -1x = 6

Combine like terms: -3 + 5 = 2
2 + 6x + -1x = 6

Combine like terms: 6x + -1x = 5x
2 + 5x = 6

Solving
2 + 5x = 6

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 + 5x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 6 + -2
5x = 6 + -2

Combine like terms: 6 + -2 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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