10(X+4)=-9(X-2)+6

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Solution for 10(X+4)=-9(X-2)+6 equation: 


Simplifying
10(X + 4) = -9(X + -2) + 6

Reorder the terms:
10(4 + X) = -9(X + -2) + 6
(4 * 10 + X * 10) = -9(X + -2) + 6
(40 + 10X) = -9(X + -2) + 6

Reorder the terms:
40 + 10X = -9(-2 + X) + 6
40 + 10X = (-2 * -9 + X * -9) + 6
40 + 10X = (18 + -9X) + 6

Reorder the terms:
40 + 10X = 18 + 6 + -9X

Combine like terms: 18 + 6 = 24
40 + 10X = 24 + -9X

Solving
40 + 10X = 24 + -9X

Solving for variable 'X'.

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

Add '9X' to each side of the equation.
40 + 10X + 9X = 24 + -9X + 9X

Combine like terms: 10X + 9X = 19X
40 + 19X = 24 + -9X + 9X

Combine like terms: -9X + 9X = 0
40 + 19X = 24 + 0
40 + 19X = 24

Add '-40' to each side of the equation.
40 + -40 + 19X = 24 + -40

Combine like terms: 40 + -40 = 0
0 + 19X = 24 + -40
19X = 24 + -40

Combine like terms: 24 + -40 = -16
19X = -16

Divide each side by '19'.
X = -0.8421052632

Simplifying
X = -0.8421052632

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