6(4X-10)-4(8+8X)=14

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Solution for 6(4X-10)-4(8+8X)=14 equation:


Simplifying
6(4X + -10) + -4(8 + 8X) = 14

Reorder the terms:
6(-10 + 4X) + -4(8 + 8X) = 14
(-10 * 6 + 4X * 6) + -4(8 + 8X) = 14
(-60 + 24X) + -4(8 + 8X) = 14
-60 + 24X + (8 * -4 + 8X * -4) = 14
-60 + 24X + (-32 + -32X) = 14

Reorder the terms:
-60 + -32 + 24X + -32X = 14

Combine like terms: -60 + -32 = -92
-92 + 24X + -32X = 14

Combine like terms: 24X + -32X = -8X
-92 + -8X = 14

Solving
-92 + -8X = 14

Solving for variable 'X'.

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

Add '92' to each side of the equation.
-92 + 92 + -8X = 14 + 92

Combine like terms: -92 + 92 = 0
0 + -8X = 14 + 92
-8X = 14 + 92

Combine like terms: 14 + 92 = 106
-8X = 106

Divide each side by '-8'.
X = -13.25

Simplifying
X = -13.25

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