0.8(3x+8)=3.5-(x-3)

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Solution for 0.8(3x+8)=3.5-(x-3) equation: 


Simplifying
0.8(3x + 8) = 3.5 + -1(x + -3)

Reorder the terms:
0.8(8 + 3x) = 3.5 + -1(x + -3)
(8 * 0.8 + 3x * 0.8) = 3.5 + -1(x + -3)
(6.4 + 2.4x) = 3.5 + -1(x + -3)

Reorder the terms:
6.4 + 2.4x = 3.5 + -1(-3 + x)
6.4 + 2.4x = 3.5 + (-3 * -1 + x * -1)
6.4 + 2.4x = 3.5 + (3 + -1x)

Combine like terms: 3.5 + 3 = 6.5
6.4 + 2.4x = 6.5 + -1x

Solving
6.4 + 2.4x = 6.5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6.4 + 2.4x + x = 6.5 + -1x + x

Combine like terms: 2.4x + x = 3.4x
6.4 + 3.4x = 6.5 + -1x + x

Combine like terms: -1x + x = 0
6.4 + 3.4x = 6.5 + 0
6.4 + 3.4x = 6.5

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 3.4x = 6.5 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 3.4x = 6.5 + -6.4
3.4x = 6.5 + -6.4

Combine like terms: 6.5 + -6.4 = 0.1
3.4x = 0.1

Divide each side by '3.4'.
x = 0.02941176471

Simplifying
x = 0.02941176471

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