.5(3x+5)=4x-8

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Solution for .5(3x+5)=4x-8 equation: 


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

Reorder the terms:
0.5(5 + 3x) = 4x + -8
(5 * 0.5 + 3x * 0.5) = 4x + -8
(2.5 + 1.5x) = 4x + -8

Reorder the terms:
2.5 + 1.5x = -8 + 4x

Solving
2.5 + 1.5x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2.5 + 1.5x + -4x = -8 + 4x + -4x

Combine like terms: 1.5x + -4x = -2.5x
2.5 + -2.5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
2.5 + -2.5x = -8 + 0
2.5 + -2.5x = -8

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -2.5x = -8 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.5x = -8 + -2.5
-2.5x = -8 + -2.5

Combine like terms: -8 + -2.5 = -10.5
-2.5x = -10.5

Divide each side by '-2.5'.
x = 4.2

Simplifying
x = 4.2

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