-6(4x-2)+5(5x-3)-9=9-3

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Solution for -6(4x-2)+5(5x-3)-9=9-3 equation: 


Simplifying
-6(4x + -2) + 5(5x + -3) + -9 = 9 + -3

Reorder the terms:
-6(-2 + 4x) + 5(5x + -3) + -9 = 9 + -3
(-2 * -6 + 4x * -6) + 5(5x + -3) + -9 = 9 + -3
(12 + -24x) + 5(5x + -3) + -9 = 9 + -3

Reorder the terms:
12 + -24x + 5(-3 + 5x) + -9 = 9 + -3
12 + -24x + (-3 * 5 + 5x * 5) + -9 = 9 + -3
12 + -24x + (-15 + 25x) + -9 = 9 + -3

Reorder the terms:
12 + -15 + -9 + -24x + 25x = 9 + -3

Combine like terms: 12 + -15 = -3
-3 + -9 + -24x + 25x = 9 + -3

Combine like terms: -3 + -9 = -12
-12 + -24x + 25x = 9 + -3

Combine like terms: -24x + 25x = 1x
-12 + 1x = 9 + -3

Combine like terms: 9 + -3 = 6
-12 + 1x = 6

Solving
-12 + 1x = 6

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 1x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 6 + 12
1x = 6 + 12

Combine like terms: 6 + 12 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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