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

Reorder the terms:
5 + -3.5x = 8(6 + 4x)
5 + -3.5x = (6 * 8 + 4x * 8)
5 + -3.5x = (48 + 32x)

Solving
5 + -3.5x = 48 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
5 + -3.5x + -32x = 48 + 32x + -32x

Combine like terms: -3.5x + -32x = -35.5x
5 + -35.5x = 48 + 32x + -32x

Combine like terms: 32x + -32x = 0
5 + -35.5x = 48 + 0
5 + -35.5x = 48

Add '-5' to each side of the equation.
5 + -5 + -35.5x = 48 + -5

Combine like terms: 5 + -5 = 0
0 + -35.5x = 48 + -5
-35.5x = 48 + -5

Combine like terms: 48 + -5 = 43
-35.5x = 43

Divide each side by '-35.5'.
x = -1.211267606

Simplifying
x = -1.211267606

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