10-3(4x-5)=0.5(5x-8)

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Solution for 10-3(4x-5)=0.5(5x-8) equation: 


Simplifying
10 + -3(4x + -5) = 0.5(5x + -8)

Reorder the terms:
10 + -3(-5 + 4x) = 0.5(5x + -8)
10 + (-5 * -3 + 4x * -3) = 0.5(5x + -8)
10 + (15 + -12x) = 0.5(5x + -8)

Combine like terms: 10 + 15 = 25
25 + -12x = 0.5(5x + -8)

Reorder the terms:
25 + -12x = 0.5(-8 + 5x)
25 + -12x = (-8 * 0.5 + 5x * 0.5)
25 + -12x = (-4 + 2.5x)

Solving
25 + -12x = -4 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
25 + -12x + -2.5x = -4 + 2.5x + -2.5x

Combine like terms: -12x + -2.5x = -14.5x
25 + -14.5x = -4 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
25 + -14.5x = -4 + 0.0
25 + -14.5x = -4

Add '-25' to each side of the equation.
25 + -25 + -14.5x = -4 + -25

Combine like terms: 25 + -25 = 0
0 + -14.5x = -4 + -25
-14.5x = -4 + -25

Combine like terms: -4 + -25 = -29
-14.5x = -29

Divide each side by '-14.5'.
x = 2

Simplifying
x = 2

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