.5(5-7x)=8-(4c+6)

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


Simplifying
0.5(5 + -7x) = 8 + -1(4c + 6)
(5 * 0.5 + -7x * 0.5) = 8 + -1(4c + 6)
(2.5 + -3.5x) = 8 + -1(4c + 6)

Reorder the terms:
2.5 + -3.5x = 8 + -1(6 + 4c)
2.5 + -3.5x = 8 + (6 * -1 + 4c * -1)
2.5 + -3.5x = 8 + (-6 + -4c)

Combine like terms: 8 + -6 = 2
2.5 + -3.5x = 2 + -4c

Solving
2.5 + -3.5x = 2 + -4c

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -3.5x = 2 + -2.5 + -4c

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -3.5x = 2 + -2.5 + -4c
-3.5x = 2 + -2.5 + -4c

Combine like terms: 2 + -2.5 = -0.5
-3.5x = -0.5 + -4c

Divide each side by '-3.5'.
x = 0.1428571429 + 1.142857143c

Simplifying
x = 0.1428571429 + 1.142857143c

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