-0.5(4x+10)=0.75(8x-4)

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Solution for -0.5(4x+10)=0.75(8x-4) equation:


Simplifying
-0.5(4x + 10) = 0.75(8x + -4)

Reorder the terms:
-0.5(10 + 4x) = 0.75(8x + -4)
(10 * -0.5 + 4x * -0.5) = 0.75(8x + -4)
(-5 + -2x) = 0.75(8x + -4)

Reorder the terms:
-5 + -2x = 0.75(-4 + 8x)
-5 + -2x = (-4 * 0.75 + 8x * 0.75)
-5 + -2x = (-3 + 6x)

Solving
-5 + -2x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + -2x + -6x = -3 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-5 + -8x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -8x = -3 + 0
-5 + -8x = -3

Add '5' to each side of the equation.
-5 + 5 + -8x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -3 + 5
-8x = -3 + 5

Combine like terms: -3 + 5 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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