6(5x-1)-5(4x-9)=9x+9

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Solution for 6(5x-1)-5(4x-9)=9x+9 equation:


Simplifying
6(5x + -1) + -5(4x + -9) = 9x + 9

Reorder the terms:
6(-1 + 5x) + -5(4x + -9) = 9x + 9
(-1 * 6 + 5x * 6) + -5(4x + -9) = 9x + 9
(-6 + 30x) + -5(4x + -9) = 9x + 9

Reorder the terms:
-6 + 30x + -5(-9 + 4x) = 9x + 9
-6 + 30x + (-9 * -5 + 4x * -5) = 9x + 9
-6 + 30x + (45 + -20x) = 9x + 9

Reorder the terms:
-6 + 45 + 30x + -20x = 9x + 9

Combine like terms: -6 + 45 = 39
39 + 30x + -20x = 9x + 9

Combine like terms: 30x + -20x = 10x
39 + 10x = 9x + 9

Reorder the terms:
39 + 10x = 9 + 9x

Solving
39 + 10x = 9 + 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.
39 + 10x + -9x = 9 + 9x + -9x

Combine like terms: 10x + -9x = 1x
39 + 1x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
39 + 1x = 9 + 0
39 + 1x = 9

Add '-39' to each side of the equation.
39 + -39 + 1x = 9 + -39

Combine like terms: 39 + -39 = 0
0 + 1x = 9 + -39
1x = 9 + -39

Combine like terms: 9 + -39 = -30
1x = -30

Divide each side by '1'.
x = -30

Simplifying
x = -30

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