3(x-1)=4x-6

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Solution for 3(x-1)=4x-6 equation:


Simplifying
3(x + -1) = 4x + -6

Reorder the terms:
3(-1 + x) = 4x + -6
(-1 * 3 + x * 3) = 4x + -6
(-3 + 3x) = 4x + -6

Reorder the terms:
-3 + 3x = -6 + 4x

Solving
-3 + 3x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = -6 + 0
-3 + -1x = -6

Add '3' to each side of the equation.
-3 + 3 + -1x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -6 + 3
-1x = -6 + 3

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

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

Simplifying
x = 3

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