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

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


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

Reorder the terms:
-5(-9 + 5x) + -3 = -4(2x + 5) + -6
(-9 * -5 + 5x * -5) + -3 = -4(2x + 5) + -6
(45 + -25x) + -3 = -4(2x + 5) + -6

Reorder the terms:
45 + -3 + -25x = -4(2x + 5) + -6

Combine like terms: 45 + -3 = 42
42 + -25x = -4(2x + 5) + -6

Reorder the terms:
42 + -25x = -4(5 + 2x) + -6
42 + -25x = (5 * -4 + 2x * -4) + -6
42 + -25x = (-20 + -8x) + -6

Reorder the terms:
42 + -25x = -20 + -6 + -8x

Combine like terms: -20 + -6 = -26
42 + -25x = -26 + -8x

Solving
42 + -25x = -26 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
42 + -25x + 8x = -26 + -8x + 8x

Combine like terms: -25x + 8x = -17x
42 + -17x = -26 + -8x + 8x

Combine like terms: -8x + 8x = 0
42 + -17x = -26 + 0
42 + -17x = -26

Add '-42' to each side of the equation.
42 + -42 + -17x = -26 + -42

Combine like terms: 42 + -42 = 0
0 + -17x = -26 + -42
-17x = -26 + -42

Combine like terms: -26 + -42 = -68
-17x = -68

Divide each side by '-17'.
x = 4

Simplifying
x = 4

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