(5x-3)=4(10x-9)

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Solution for (5x-3)=4(10x-9) equation:


Simplifying
(5x + -3) = 4(10x + -9)

Reorder the terms:
(-3 + 5x) = 4(10x + -9)

Remove parenthesis around (-3 + 5x)
-3 + 5x = 4(10x + -9)

Reorder the terms:
-3 + 5x = 4(-9 + 10x)
-3 + 5x = (-9 * 4 + 10x * 4)
-3 + 5x = (-36 + 40x)

Solving
-3 + 5x = -36 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-3 + 5x + -40x = -36 + 40x + -40x

Combine like terms: 5x + -40x = -35x
-3 + -35x = -36 + 40x + -40x

Combine like terms: 40x + -40x = 0
-3 + -35x = -36 + 0
-3 + -35x = -36

Add '3' to each side of the equation.
-3 + 3 + -35x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + -35x = -36 + 3
-35x = -36 + 3

Combine like terms: -36 + 3 = -33
-35x = -33

Divide each side by '-35'.
x = 0.9428571429

Simplifying
x = 0.9428571429

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