3(x-5)-4(x-6)=9

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Solution for 3(x-5)-4(x-6)=9 equation:


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

Reorder the terms:
3(-5 + x) + -4(x + -6) = 9
(-5 * 3 + x * 3) + -4(x + -6) = 9
(-15 + 3x) + -4(x + -6) = 9

Reorder the terms:
-15 + 3x + -4(-6 + x) = 9
-15 + 3x + (-6 * -4 + x * -4) = 9
-15 + 3x + (24 + -4x) = 9

Reorder the terms:
-15 + 24 + 3x + -4x = 9

Combine like terms: -15 + 24 = 9
9 + 3x + -4x = 9

Combine like terms: 3x + -4x = -1x
9 + -1x = 9

Add '-9' to each side of the equation.
9 + -9 + -1x = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 9 + -9
-1x = 9 + -9

Combine like terms: 9 + -9 = 0
-1x = 0

Solving
-1x = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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