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

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


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

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

Combine like terms: 8 + 6 = 14
2.5 + -3.5x = 14 + -4x

Solving
2.5 + -3.5x = 14 + -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 + -3.5x + 4x = 14 + -4x + 4x

Combine like terms: -3.5x + 4x = 0.5x
2.5 + 0.5x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
2.5 + 0.5x = 14 + 0
2.5 + 0.5x = 14

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5x = 14 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5x = 14 + -2.5
0.5x = 14 + -2.5

Combine like terms: 14 + -2.5 = 11.5
0.5x = 11.5

Divide each side by '0.5'.
x = 23

Simplifying
x = 23

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