6(x-1)=4(x-2)

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Solution for 6(x-1)=4(x-2) equation:


Simplifying
6(x + -1) = 4(x + -2)

Reorder the terms:
6(-1 + x) = 4(x + -2)
(-1 * 6 + x * 6) = 4(x + -2)
(-6 + 6x) = 4(x + -2)

Reorder the terms:
-6 + 6x = 4(-2 + x)
-6 + 6x = (-2 * 4 + x * 4)
-6 + 6x = (-8 + 4x)

Solving
-6 + 6x = -8 + 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.
-6 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-6 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 2x = -8 + 0
-6 + 2x = -8

Add '6' to each side of the equation.
-6 + 6 + 2x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -8 + 6
2x = -8 + 6

Combine like terms: -8 + 6 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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