0.25(16x+6)-3x+5=2-2x

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Solution for 0.25(16x+6)-3x+5=2-2x equation:


Simplifying
0.25(16x + 6) + -3x + 5 = 2 + -2x

Reorder the terms:
0.25(6 + 16x) + -3x + 5 = 2 + -2x
(6 * 0.25 + 16x * 0.25) + -3x + 5 = 2 + -2x
(1.5 + 4x) + -3x + 5 = 2 + -2x

Reorder the terms:
1.5 + 5 + 4x + -3x = 2 + -2x

Combine like terms: 1.5 + 5 = 6.5
6.5 + 4x + -3x = 2 + -2x

Combine like terms: 4x + -3x = 1x
6.5 + 1x = 2 + -2x

Solving
6.5 + 1x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6.5 + 1x + 2x = 2 + -2x + 2x

Combine like terms: 1x + 2x = 3x
6.5 + 3x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
6.5 + 3x = 2 + 0
6.5 + 3x = 2

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 3x = 2 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 3x = 2 + -6.5
3x = 2 + -6.5

Combine like terms: 2 + -6.5 = -4.5
3x = -4.5

Divide each side by '3'.
x = -1.5

Simplifying
x = -1.5

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