5-0.16(-x+7)=1+3(2-4x)

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Solution for 5-0.16(-x+7)=1+3(2-4x) equation: 


Simplifying
5 + -0.16(-1x + 7) = 1 + 3(2 + -4x)

Reorder the terms:
5 + -0.16(7 + -1x) = 1 + 3(2 + -4x)
5 + (7 * -0.16 + -1x * -0.16) = 1 + 3(2 + -4x)
5 + (-1.12 + 0.16x) = 1 + 3(2 + -4x)

Combine like terms: 5 + -1.12 = 3.88
3.88 + 0.16x = 1 + 3(2 + -4x)
3.88 + 0.16x = 1 + (2 * 3 + -4x * 3)
3.88 + 0.16x = 1 + (6 + -12x)

Combine like terms: 1 + 6 = 7
3.88 + 0.16x = 7 + -12x

Solving
3.88 + 0.16x = 7 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
3.88 + 0.16x + 12x = 7 + -12x + 12x

Combine like terms: 0.16x + 12x = 12.16x
3.88 + 12.16x = 7 + -12x + 12x

Combine like terms: -12x + 12x = 0
3.88 + 12.16x = 7 + 0
3.88 + 12.16x = 7

Add '-3.88' to each side of the equation.
3.88 + -3.88 + 12.16x = 7 + -3.88

Combine like terms: 3.88 + -3.88 = 0.00
0.00 + 12.16x = 7 + -3.88
12.16x = 7 + -3.88

Combine like terms: 7 + -3.88 = 3.12
12.16x = 3.12

Divide each side by '12.16'.
x = 0.2565789474

Simplifying
x = 0.2565789474

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