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

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


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

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

Reorder the terms:
-2 + x + 6x = 6x + -5

Combine like terms: x + 6x = 7x
-2 + 7x = 6x + -5

Reorder the terms:
-2 + 7x = -5 + 6x

Solving
-2 + 7x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 7x + -6x = -5 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-2 + 1x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 1x = -5 + 0
-2 + 1x = -5

Add '2' to each side of the equation.
-2 + 2 + 1x = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -5 + 2
1x = -5 + 2

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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