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

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


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

Reorder the terms:
9(-4 + 3x) + -5(5x + -6) = -3
(-4 * 9 + 3x * 9) + -5(5x + -6) = -3
(-36 + 27x) + -5(5x + -6) = -3

Reorder the terms:
-36 + 27x + -5(-6 + 5x) = -3
-36 + 27x + (-6 * -5 + 5x * -5) = -3
-36 + 27x + (30 + -25x) = -3

Reorder the terms:
-36 + 30 + 27x + -25x = -3

Combine like terms: -36 + 30 = -6
-6 + 27x + -25x = -3

Combine like terms: 27x + -25x = 2x
-6 + 2x = -3

Solving
-6 + 2x = -3

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -3 + 6
2x = -3 + 6

Combine like terms: -3 + 6 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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