1.3(x+3)-(5.8+0.3x)=-3+2

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Solution for 1.3(x+3)-(5.8+0.3x)=-3+2 equation:


Simplifying
1.3(x + 3) + -1(5.8 + 0.3x) = -3 + 2

Reorder the terms:
1.3(3 + x) + -1(5.8 + 0.3x) = -3 + 2
(3 * 1.3 + x * 1.3) + -1(5.8 + 0.3x) = -3 + 2
(3.9 + 1.3x) + -1(5.8 + 0.3x) = -3 + 2
3.9 + 1.3x + (5.8 * -1 + 0.3x * -1) = -3 + 2
3.9 + 1.3x + (-5.8 + -0.3x) = -3 + 2

Reorder the terms:
3.9 + -5.8 + 1.3x + -0.3x = -3 + 2

Combine like terms: 3.9 + -5.8 = -1.9
-1.9 + 1.3x + -0.3x = -3 + 2

Combine like terms: 1.3x + -0.3x = 1x
-1.9 + 1x = -3 + 2

Combine like terms: -3 + 2 = -1
-1.9 + 1x = -1

Solving
-1.9 + 1x = -1

Solving for variable 'x'.

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

Add '1.9' to each side of the equation.
-1.9 + 1.9 + 1x = -1 + 1.9

Combine like terms: -1.9 + 1.9 = 0.0
0.0 + 1x = -1 + 1.9
1x = -1 + 1.9

Combine like terms: -1 + 1.9 = 0.9
1x = 0.9

Divide each side by '1'.
x = 0.9

Simplifying
x = 0.9

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