5(2x-3)-2(4x-5)=0

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Solution for 5(2x-3)-2(4x-5)=0 equation:


Simplifying
5(2x + -3) + -2(4x + -5) = 0

Reorder the terms:
5(-3 + 2x) + -2(4x + -5) = 0
(-3 * 5 + 2x * 5) + -2(4x + -5) = 0
(-15 + 10x) + -2(4x + -5) = 0

Reorder the terms:
-15 + 10x + -2(-5 + 4x) = 0
-15 + 10x + (-5 * -2 + 4x * -2) = 0
-15 + 10x + (10 + -8x) = 0

Reorder the terms:
-15 + 10 + 10x + -8x = 0

Combine like terms: -15 + 10 = -5
-5 + 10x + -8x = 0

Combine like terms: 10x + -8x = 2x
-5 + 2x = 0

Solving
-5 + 2x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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