3(x-1)=5x-6

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


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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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