3(x+1)=6x-5

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


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

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

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

Solving
3 + 3x = -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.
3 + 3x + -6x = -5 + 6x + -6x

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

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

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

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

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

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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