5(2x-1)=10(3x-2)

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Solution for 5(2x-1)=10(3x-2) equation:


Simplifying
5(2x + -1) = 10(3x + -2)

Reorder the terms:
5(-1 + 2x) = 10(3x + -2)
(-1 * 5 + 2x * 5) = 10(3x + -2)
(-5 + 10x) = 10(3x + -2)

Reorder the terms:
-5 + 10x = 10(-2 + 3x)
-5 + 10x = (-2 * 10 + 3x * 10)
-5 + 10x = (-20 + 30x)

Solving
-5 + 10x = -20 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-5 + 10x + -30x = -20 + 30x + -30x

Combine like terms: 10x + -30x = -20x
-5 + -20x = -20 + 30x + -30x

Combine like terms: 30x + -30x = 0
-5 + -20x = -20 + 0
-5 + -20x = -20

Add '5' to each side of the equation.
-5 + 5 + -20x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -20x = -20 + 5
-20x = -20 + 5

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

Divide each side by '-20'.
x = 0.75

Simplifying
x = 0.75

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