5(2x-3)-6x=0.5(4x-10)

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Solution for 5(2x-3)-6x=0.5(4x-10) equation:


Simplifying
5(2x + -3) + -6x = 0.5(4x + -10)

Reorder the terms:
5(-3 + 2x) + -6x = 0.5(4x + -10)
(-3 * 5 + 2x * 5) + -6x = 0.5(4x + -10)
(-15 + 10x) + -6x = 0.5(4x + -10)

Combine like terms: 10x + -6x = 4x
-15 + 4x = 0.5(4x + -10)

Reorder the terms:
-15 + 4x = 0.5(-10 + 4x)
-15 + 4x = (-10 * 0.5 + 4x * 0.5)
-15 + 4x = (-5 + 2x)

Solving
-15 + 4x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-15 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 2x = -5 + 0
-15 + 2x = -5

Add '15' to each side of the equation.
-15 + 15 + 2x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -5 + 15
2x = -5 + 15

Combine like terms: -5 + 15 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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