2(x-1)=5x-6

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-2 + -3x = -6 + 0
-2 + -3x = -6

Add '2' to each side of the equation.
-2 + 2 + -3x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -6 + 2
-3x = -6 + 2

Combine like terms: -6 + 2 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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