3-.2(x+1)=3x-5.2

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Solution for 3-.2(x+1)=3x-5.2 equation: 


Simplifying
3 + -0.2(x + 1) = 3x + -5.2

Reorder the terms:
3 + -0.2(1 + x) = 3x + -5.2
3 + (1 * -0.2 + x * -0.2) = 3x + -5.2
3 + (-0.2 + -0.2x) = 3x + -5.2

Combine like terms: 3 + -0.2 = 2.8
2.8 + -0.2x = 3x + -5.2

Reorder the terms:
2.8 + -0.2x = -5.2 + 3x

Solving
2.8 + -0.2x = -5.2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2.8 + -0.2x + -3x = -5.2 + 3x + -3x

Combine like terms: -0.2x + -3x = -3.2x
2.8 + -3.2x = -5.2 + 3x + -3x

Combine like terms: 3x + -3x = 0
2.8 + -3.2x = -5.2 + 0
2.8 + -3.2x = -5.2

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -3.2x = -5.2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -3.2x = -5.2 + -2.8
-3.2x = -5.2 + -2.8

Combine like terms: -5.2 + -2.8 = -8
-3.2x = -8

Divide each side by '-3.2'.
x = 2.5

Simplifying
x = 2.5

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