-6(4x-3)+5(5x-6)-9=7-3

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Solution for -6(4x-3)+5(5x-6)-9=7-3 equation: 


Simplifying
-6(4x + -3) + 5(5x + -6) + -9 = 7 + -3

Reorder the terms:
-6(-3 + 4x) + 5(5x + -6) + -9 = 7 + -3
(-3 * -6 + 4x * -6) + 5(5x + -6) + -9 = 7 + -3
(18 + -24x) + 5(5x + -6) + -9 = 7 + -3

Reorder the terms:
18 + -24x + 5(-6 + 5x) + -9 = 7 + -3
18 + -24x + (-6 * 5 + 5x * 5) + -9 = 7 + -3
18 + -24x + (-30 + 25x) + -9 = 7 + -3

Reorder the terms:
18 + -30 + -9 + -24x + 25x = 7 + -3

Combine like terms: 18 + -30 = -12
-12 + -9 + -24x + 25x = 7 + -3

Combine like terms: -12 + -9 = -21
-21 + -24x + 25x = 7 + -3

Combine like terms: -24x + 25x = 1x
-21 + 1x = 7 + -3

Combine like terms: 7 + -3 = 4
-21 + 1x = 4

Solving
-21 + 1x = 4

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 1x = 4 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 4 + 21
1x = 4 + 21

Combine like terms: 4 + 21 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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