0.5(10-7x)=8-(4x+6)

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Solution for 0.5(10-7x)=8-(4x+6) equation: 


Simplifying
0.5(10 + -7x) = 8 + -1(4x + 6)
(10 * 0.5 + -7x * 0.5) = 8 + -1(4x + 6)
(5 + -3.5x) = 8 + -1(4x + 6)

Reorder the terms:
5 + -3.5x = 8 + -1(6 + 4x)
5 + -3.5x = 8 + (6 * -1 + 4x * -1)
5 + -3.5x = 8 + (-6 + -4x)

Combine like terms: 8 + -6 = 2
5 + -3.5x = 2 + -4x

Solving
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.
5 + -3.5x + 4x = 2 + -4x + 4x

Combine like terms: -3.5x + 4x = 0.5x
5 + 0.5x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 0.5x = 2 + 0
5 + 0.5x = 2

Add '-5' to each side of the equation.
5 + -5 + 0.5x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 0.5x = 2 + -5
0.5x = 2 + -5

Combine like terms: 2 + -5 = -3
0.5x = -3

Divide each side by '0.5'.
x = -6

Simplifying
x = -6

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