.8(4x+8)=3.5-(x-3)

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Solution for .8(4x+8)=3.5-(x-3) equation:


Simplifying
0.8(4x + 8) = 3.5 + -1(x + -3)

Reorder the terms:
0.8(8 + 4x) = 3.5 + -1(x + -3)
(8 * 0.8 + 4x * 0.8) = 3.5 + -1(x + -3)
(6.4 + 3.2x) = 3.5 + -1(x + -3)

Reorder the terms:
6.4 + 3.2x = 3.5 + -1(-3 + x)
6.4 + 3.2x = 3.5 + (-3 * -1 + x * -1)
6.4 + 3.2x = 3.5 + (3 + -1x)

Combine like terms: 3.5 + 3 = 6.5
6.4 + 3.2x = 6.5 + -1x

Solving
6.4 + 3.2x = 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 + 3.2x + x = 6.5 + -1x + x

Combine like terms: 3.2x + x = 4.2x
6.4 + 4.2x = 6.5 + -1x + x

Combine like terms: -1x + x = 0
6.4 + 4.2x = 6.5 + 0
6.4 + 4.2x = 6.5

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 4.2x = 6.5 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 4.2x = 6.5 + -6.4
4.2x = 6.5 + -6.4

Combine like terms: 6.5 + -6.4 = 0.1
4.2x = 0.1

Divide each side by '4.2'.
x = 0.02380952381

Simplifying
x = 0.02380952381

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