6(X+20)+.8(X-10)=46

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Solution for 6(X+20)+.8(X-10)=46 equation:


Simplifying
6(X + 20) + 0.8(X + -10) = 46

Reorder the terms:
6(20 + X) + 0.8(X + -10) = 46
(20 * 6 + X * 6) + 0.8(X + -10) = 46
(120 + 6X) + 0.8(X + -10) = 46

Reorder the terms:
120 + 6X + 0.8(-10 + X) = 46
120 + 6X + (-10 * 0.8 + X * 0.8) = 46
120 + 6X + (-8 + 0.8X) = 46

Reorder the terms:
120 + -8 + 6X + 0.8X = 46

Combine like terms: 120 + -8 = 112
112 + 6X + 0.8X = 46

Combine like terms: 6X + 0.8X = 6.8X
112 + 6.8X = 46

Solving
112 + 6.8X = 46

Solving for variable 'X'.

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

Add '-112' to each side of the equation.
112 + -112 + 6.8X = 46 + -112

Combine like terms: 112 + -112 = 0
0 + 6.8X = 46 + -112
6.8X = 46 + -112

Combine like terms: 46 + -112 = -66
6.8X = -66

Divide each side by '6.8'.
X = -9.705882353

Simplifying
X = -9.705882353

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