0.9x-2.1+0.9=0.2(5-x)2

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Solution for 0.9x-2.1+0.9=0.2(5-x)2 equation:


Simplifying
0.9x + -2.1 + 0.9 = 0.2(5 + -1x) * 2

Reorder the terms:
-2.1 + 0.9 + 0.9x = 0.2(5 + -1x) * 2

Combine like terms: -2.1 + 0.9 = -1.2
-1.2 + 0.9x = 0.2(5 + -1x) * 2

Reorder the terms for easier multiplication:
-1.2 + 0.9x = 0.2 * 2(5 + -1x)

Multiply 0.2 * 2
-1.2 + 0.9x = 0.4(5 + -1x)
-1.2 + 0.9x = (5 * 0.4 + -1x * 0.4)
-1.2 + 0.9x = (2 + -0.4x)

Solving
-1.2 + 0.9x = 2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-1.2 + 0.9x + 0.4x = 2 + -0.4x + 0.4x

Combine like terms: 0.9x + 0.4x = 1.3x
-1.2 + 1.3x = 2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-1.2 + 1.3x = 2 + 0.0
-1.2 + 1.3x = 2

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.3x = 2 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.3x = 2 + 1.2
1.3x = 2 + 1.2

Combine like terms: 2 + 1.2 = 3.2
1.3x = 3.2

Divide each side by '1.3'.
x = 2.461538462

Simplifying
x = 2.461538462

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