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

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Solution for 5(x-2)=6(x-4) equation:


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

Reorder the terms:
5(-2 + x) = 6(x + -4)
(-2 * 5 + x * 5) = 6(x + -4)
(-10 + 5x) = 6(x + -4)

Reorder the terms:
-10 + 5x = 6(-4 + x)
-10 + 5x = (-4 * 6 + x * 6)
-10 + 5x = (-24 + 6x)

Solving
-10 + 5x = -24 + 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.
-10 + 5x + -6x = -24 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-10 + -1x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -1x = -24 + 0
-10 + -1x = -24

Add '10' to each side of the equation.
-10 + 10 + -1x = -24 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -24 + 10
-1x = -24 + 10

Combine like terms: -24 + 10 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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