4(x-6)=6(x-8)

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Solution for 4(x-6)=6(x-8) equation:


Simplifying
4(x + -6) = 6(x + -8)

Reorder the terms:
4(-6 + x) = 6(x + -8)
(-6 * 4 + x * 4) = 6(x + -8)
(-24 + 4x) = 6(x + -8)

Reorder the terms:
-24 + 4x = 6(-8 + x)
-24 + 4x = (-8 * 6 + x * 6)
-24 + 4x = (-48 + 6x)

Solving
-24 + 4x = -48 + 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.
-24 + 4x + -6x = -48 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-24 + -2x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-24 + -2x = -48 + 0
-24 + -2x = -48

Add '24' to each side of the equation.
-24 + 24 + -2x = -48 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -48 + 24
-2x = -48 + 24

Combine like terms: -48 + 24 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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