-4(x-6)=10(10x-8)

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Solution for -4(x-6)=10(10x-8) equation: 


Simplifying
-4(x + -6) = 10(10x + -8)

Reorder the terms:
-4(-6 + x) = 10(10x + -8)
(-6 * -4 + x * -4) = 10(10x + -8)
(24 + -4x) = 10(10x + -8)

Reorder the terms:
24 + -4x = 10(-8 + 10x)
24 + -4x = (-8 * 10 + 10x * 10)
24 + -4x = (-80 + 100x)

Solving
24 + -4x = -80 + 100x

Solving for variable 'x'.

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

Add '-100x' to each side of the equation.
24 + -4x + -100x = -80 + 100x + -100x

Combine like terms: -4x + -100x = -104x
24 + -104x = -80 + 100x + -100x

Combine like terms: 100x + -100x = 0
24 + -104x = -80 + 0
24 + -104x = -80

Add '-24' to each side of the equation.
24 + -24 + -104x = -80 + -24

Combine like terms: 24 + -24 = 0
0 + -104x = -80 + -24
-104x = -80 + -24

Combine like terms: -80 + -24 = -104
-104x = -104

Divide each side by '-104'.
x = 1

Simplifying
x = 1

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