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

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


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

Reorder the terms:
2.5 + -3.5x = 8 + -4(6 + 4x)
2.5 + -3.5x = 8 + (6 * -4 + 4x * -4)
2.5 + -3.5x = 8 + (-24 + -16x)

Combine like terms: 8 + -24 = -16
2.5 + -3.5x = -16 + -16x

Solving
2.5 + -3.5x = -16 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
2.5 + -3.5x + 16x = -16 + -16x + 16x

Combine like terms: -3.5x + 16x = 12.5x
2.5 + 12.5x = -16 + -16x + 16x

Combine like terms: -16x + 16x = 0
2.5 + 12.5x = -16 + 0
2.5 + 12.5x = -16

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 12.5x = -16 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 12.5x = -16 + -2.5
12.5x = -16 + -2.5

Combine like terms: -16 + -2.5 = -18.5
12.5x = -18.5

Divide each side by '12.5'.
x = -1.48

Simplifying
x = -1.48

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