0.05(5-7x)=8-(4x+6)

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Solution for 0.05(5-7x)=8-(4x+6) equation: 


Simplifying
0.05(5 + -7x) = 8 + -1(4x + 6)
(5 * 0.05 + -7x * 0.05) = 8 + -1(4x + 6)
(0.25 + -0.35x) = 8 + -1(4x + 6)

Reorder the terms:
0.25 + -0.35x = 8 + -1(6 + 4x)
0.25 + -0.35x = 8 + (6 * -1 + 4x * -1)
0.25 + -0.35x = 8 + (-6 + -4x)

Combine like terms: 8 + -6 = 2
0.25 + -0.35x = 2 + -4x

Solving
0.25 + -0.35x = 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.
0.25 + -0.35x + 4x = 2 + -4x + 4x

Combine like terms: -0.35x + 4x = 3.65x
0.25 + 3.65x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
0.25 + 3.65x = 2 + 0
0.25 + 3.65x = 2

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 3.65x = 2 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 3.65x = 2 + -0.25
3.65x = 2 + -0.25

Combine like terms: 2 + -0.25 = 1.75
3.65x = 1.75

Divide each side by '3.65'.
x = 0.4794520548

Simplifying
x = 0.4794520548

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