0.5(5-7x)=-8(4x+6)

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Solution for 0.5(5-7x)=-8(4x+6) equation: 


Simplifying
0.5(5 + -7x) = -8(4x + 6)
(5 * 0.5 + -7x * 0.5) = -8(4x + 6)
(2.5 + -3.5x) = -8(4x + 6)

Reorder the terms:
2.5 + -3.5x = -8(6 + 4x)
2.5 + -3.5x = (6 * -8 + 4x * -8)
2.5 + -3.5x = (-48 + -32x)

Solving
2.5 + -3.5x = -48 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
2.5 + -3.5x + 32x = -48 + -32x + 32x

Combine like terms: -3.5x + 32x = 28.5x
2.5 + 28.5x = -48 + -32x + 32x

Combine like terms: -32x + 32x = 0
2.5 + 28.5x = -48 + 0
2.5 + 28.5x = -48

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 28.5x = -48 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 28.5x = -48 + -2.5
28.5x = -48 + -2.5

Combine like terms: -48 + -2.5 = -50.5
28.5x = -50.5

Divide each side by '28.5'.
x = -1.771929825

Simplifying
x = -1.771929825

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