8(0.5x-2)=3(x+5)

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Solution for 8(0.5x-2)=3(x+5) equation:


Simplifying
8(0.5x + -2) = 3(x + 5)

Reorder the terms:
8(-2 + 0.5x) = 3(x + 5)
(-2 * 8 + 0.5x * 8) = 3(x + 5)
(-16 + 4x) = 3(x + 5)

Reorder the terms:
-16 + 4x = 3(5 + x)
-16 + 4x = (5 * 3 + x * 3)
-16 + 4x = (15 + 3x)

Solving
-16 + 4x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-16 + 4x + -3x = 15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-16 + 1x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 1x = 15 + 0
-16 + 1x = 15

Add '16' to each side of the equation.
-16 + 16 + 1x = 15 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 15 + 16
1x = 15 + 16

Combine like terms: 15 + 16 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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