6(x-1)+4(2X-5)=10

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Solution for 6(x-1)+4(2X-5)=10 equation: 


Simplifying
6(x + -1) + 4(2X + -5) = 10

Reorder the terms:
6(-1 + x) + 4(2X + -5) = 10
(-1 * 6 + x * 6) + 4(2X + -5) = 10
(-6 + 6x) + 4(2X + -5) = 10

Reorder the terms:
-6 + 6x + 4(-5 + 2X) = 10
-6 + 6x + (-5 * 4 + 2X * 4) = 10
-6 + 6x + (-20 + 8X) = 10

Reorder the terms:
-6 + -20 + 8X + 6x = 10

Combine like terms: -6 + -20 = -26
-26 + 8X + 6x = 10

Solving
-26 + 8X + 6x = 10

Solving for variable 'X'.

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

Add '26' to each side of the equation.
-26 + 8X + 26 + 6x = 10 + 26

Reorder the terms:
-26 + 26 + 8X + 6x = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 8X + 6x = 10 + 26
8X + 6x = 10 + 26

Combine like terms: 10 + 26 = 36
8X + 6x = 36

Add '-6x' to each side of the equation.
8X + 6x + -6x = 36 + -6x

Combine like terms: 6x + -6x = 0
8X + 0 = 36 + -6x
8X = 36 + -6x

Divide each side by '8'.
X = 4.5 + -0.75x

Simplifying
X = 4.5 + -0.75x

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