10(5x-2)=8(6x+5)

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Solution for 10(5x-2)=8(6x+5) equation:


Simplifying
10(5x + -2) = 8(6x + 5)

Reorder the terms:
10(-2 + 5x) = 8(6x + 5)
(-2 * 10 + 5x * 10) = 8(6x + 5)
(-20 + 50x) = 8(6x + 5)

Reorder the terms:
-20 + 50x = 8(5 + 6x)
-20 + 50x = (5 * 8 + 6x * 8)
-20 + 50x = (40 + 48x)

Solving
-20 + 50x = 40 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-20 + 50x + -48x = 40 + 48x + -48x

Combine like terms: 50x + -48x = 2x
-20 + 2x = 40 + 48x + -48x

Combine like terms: 48x + -48x = 0
-20 + 2x = 40 + 0
-20 + 2x = 40

Add '20' to each side of the equation.
-20 + 20 + 2x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = 40 + 20
2x = 40 + 20

Combine like terms: 40 + 20 = 60
2x = 60

Divide each side by '2'.
x = 30

Simplifying
x = 30

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