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

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

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

Combine like terms: -4x + 4x = 0
2.5 + 0.5x = 2 + 0
2.5 + 0.5x = 2

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5x = 2 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5x = 2 + -2.5
0.5x = 2 + -2.5

Combine like terms: 2 + -2.5 = -0.5
0.5x = -0.5

Divide each side by '0.5'.
x = -1

Simplifying
x = -1

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