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

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


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

Reorder the terms:
5(-3 + 2x) = 2(4x + 5)
(-3 * 5 + 2x * 5) = 2(4x + 5)
(-15 + 10x) = 2(4x + 5)

Reorder the terms:
-15 + 10x = 2(5 + 4x)
-15 + 10x = (5 * 2 + 4x * 2)
-15 + 10x = (10 + 8x)

Solving
-15 + 10x = 10 + 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.
-15 + 10x + -8x = 10 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-15 + 2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + 2x = 10 + 0
-15 + 2x = 10

Add '15' to each side of the equation.
-15 + 15 + 2x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 10 + 15
2x = 10 + 15

Combine like terms: 10 + 15 = 25
2x = 25

Divide each side by '2'.
x = 12.5

Simplifying
x = 12.5

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