9(x-4)-6(x+5)=10

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Solution for 9(x-4)-6(x+5)=10 equation: 


Simplifying
9(x + -4) + -6(x + 5) = 10

Reorder the terms:
9(-4 + x) + -6(x + 5) = 10
(-4 * 9 + x * 9) + -6(x + 5) = 10
(-36 + 9x) + -6(x + 5) = 10

Reorder the terms:
-36 + 9x + -6(5 + x) = 10
-36 + 9x + (5 * -6 + x * -6) = 10
-36 + 9x + (-30 + -6x) = 10

Reorder the terms:
-36 + -30 + 9x + -6x = 10

Combine like terms: -36 + -30 = -66
-66 + 9x + -6x = 10

Combine like terms: 9x + -6x = 3x
-66 + 3x = 10

Solving
-66 + 3x = 10

Solving for variable 'x'.

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

Add '66' to each side of the equation.
-66 + 66 + 3x = 10 + 66

Combine like terms: -66 + 66 = 0
0 + 3x = 10 + 66
3x = 10 + 66

Combine like terms: 10 + 66 = 76
3x = 76

Divide each side by '3'.
x = 25.33333333

Simplifying
x = 25.33333333

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