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

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Solution for 3(x+9)-4(x-6)=10 equation: 


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

Reorder the terms:
3(9 + x) + -4(x + -6) = 10
(9 * 3 + x * 3) + -4(x + -6) = 10
(27 + 3x) + -4(x + -6) = 10

Reorder the terms:
27 + 3x + -4(-6 + x) = 10
27 + 3x + (-6 * -4 + x * -4) = 10
27 + 3x + (24 + -4x) = 10

Reorder the terms:
27 + 24 + 3x + -4x = 10

Combine like terms: 27 + 24 = 51
51 + 3x + -4x = 10

Combine like terms: 3x + -4x = -1x
51 + -1x = 10

Solving
51 + -1x = 10

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + -1x = 10 + -51

Combine like terms: 51 + -51 = 0
0 + -1x = 10 + -51
-1x = 10 + -51

Combine like terms: 10 + -51 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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