.25(2x+2)=2(2-3x)+3

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Solution for .25(2x+2)=2(2-3x)+3 equation: 


Simplifying
0.25(2x + 2) = 2(2 + -3x) + 3

Reorder the terms:
0.25(2 + 2x) = 2(2 + -3x) + 3
(2 * 0.25 + 2x * 0.25) = 2(2 + -3x) + 3
(0.5 + 0.5x) = 2(2 + -3x) + 3
0.5 + 0.5x = (2 * 2 + -3x * 2) + 3
0.5 + 0.5x = (4 + -6x) + 3

Reorder the terms:
0.5 + 0.5x = 4 + 3 + -6x

Combine like terms: 4 + 3 = 7
0.5 + 0.5x = 7 + -6x

Solving
0.5 + 0.5x = 7 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0.5 + 0.5x + 6x = 7 + -6x + 6x

Combine like terms: 0.5x + 6x = 6.5x
0.5 + 6.5x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.5 + 6.5x = 7 + 0
0.5 + 6.5x = 7

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 6.5x = 7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 6.5x = 7 + -0.5
6.5x = 7 + -0.5

Combine like terms: 7 + -0.5 = 6.5
6.5x = 6.5

Divide each side by '6.5'.
x = 1

Simplifying
x = 1

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