9(10x-1)+4=-15(5x-1)

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Solution for 9(10x-1)+4=-15(5x-1) equation:


Simplifying
9(10x + -1) + 4 = -15(5x + -1)

Reorder the terms:
9(-1 + 10x) + 4 = -15(5x + -1)
(-1 * 9 + 10x * 9) + 4 = -15(5x + -1)
(-9 + 90x) + 4 = -15(5x + -1)

Reorder the terms:
-9 + 4 + 90x = -15(5x + -1)

Combine like terms: -9 + 4 = -5
-5 + 90x = -15(5x + -1)

Reorder the terms:
-5 + 90x = -15(-1 + 5x)
-5 + 90x = (-1 * -15 + 5x * -15)
-5 + 90x = (15 + -75x)

Solving
-5 + 90x = 15 + -75x

Solving for variable 'x'.

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

Add '75x' to each side of the equation.
-5 + 90x + 75x = 15 + -75x + 75x

Combine like terms: 90x + 75x = 165x
-5 + 165x = 15 + -75x + 75x

Combine like terms: -75x + 75x = 0
-5 + 165x = 15 + 0
-5 + 165x = 15

Add '5' to each side of the equation.
-5 + 5 + 165x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 165x = 15 + 5
165x = 15 + 5

Combine like terms: 15 + 5 = 20
165x = 20

Divide each side by '165'.
x = 0.1212121212

Simplifying
x = 0.1212121212

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