3.1x+2-0.9=2.2(x+1)-0.2

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Solution for 3.1x+2-0.9=2.2(x+1)-0.2 equation: 


Simplifying
3.1x + 2 + -0.9 = 2.2(x + 1) + -0.2

Reorder the terms:
2 + -0.9 + 3.1x = 2.2(x + 1) + -0.2

Combine like terms: 2 + -0.9 = 1.1
1.1 + 3.1x = 2.2(x + 1) + -0.2

Reorder the terms:
1.1 + 3.1x = 2.2(1 + x) + -0.2
1.1 + 3.1x = (1 * 2.2 + x * 2.2) + -0.2
1.1 + 3.1x = (2.2 + 2.2x) + -0.2

Reorder the terms:
1.1 + 3.1x = 2.2 + -0.2 + 2.2x

Combine like terms: 2.2 + -0.2 = 2
1.1 + 3.1x = 2 + 2.2x

Solving
1.1 + 3.1x = 2 + 2.2x

Solving for variable 'x'.

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

Add '-2.2x' to each side of the equation.
1.1 + 3.1x + -2.2x = 2 + 2.2x + -2.2x

Combine like terms: 3.1x + -2.2x = 0.9x
1.1 + 0.9x = 2 + 2.2x + -2.2x

Combine like terms: 2.2x + -2.2x = 0.0
1.1 + 0.9x = 2 + 0.0
1.1 + 0.9x = 2

Add '-1.1' to each side of the equation.
1.1 + -1.1 + 0.9x = 2 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0
0.0 + 0.9x = 2 + -1.1
0.9x = 2 + -1.1

Combine like terms: 2 + -1.1 = 0.9
0.9x = 0.9

Divide each side by '0.9'.
x = 1

Simplifying
x = 1

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