.75(4-8x)=0.8(5+10x)+1

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Solution for .75(4-8x)=0.8(5+10x)+1 equation:


Simplifying
0.75(4 + -8x) = 0.8(5 + 10x) + 1
(4 * 0.75 + -8x * 0.75) = 0.8(5 + 10x) + 1
(3 + -6x) = 0.8(5 + 10x) + 1
3 + -6x = (5 * 0.8 + 10x * 0.8) + 1
3 + -6x = (4 + 8x) + 1

Reorder the terms:
3 + -6x = 4 + 1 + 8x

Combine like terms: 4 + 1 = 5
3 + -6x = 5 + 8x

Solving
3 + -6x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + -6x + -8x = 5 + 8x + -8x

Combine like terms: -6x + -8x = -14x
3 + -14x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -14x = 5 + 0
3 + -14x = 5

Add '-3' to each side of the equation.
3 + -3 + -14x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -14x = 5 + -3
-14x = 5 + -3

Combine like terms: 5 + -3 = 2
-14x = 2

Divide each side by '-14'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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