0.2(22)+x=0.3(22+x)

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Solution for 0.2(22)+x=0.3(22+x) equation:


Simplifying
0.2(22) + x = 0.3(22 + x)

Multiply 0.2 * 22
4.4 + x = 0.3(22 + x)
4.4 + x = (22 * 0.3 + x * 0.3)
4.4 + x = (6.6 + 0.3x)

Solving
4.4 + x = 6.6 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
4.4 + x + -0.3x = 6.6 + 0.3x + -0.3x

Combine like terms: x + -0.3x = 0.7x
4.4 + 0.7x = 6.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
4.4 + 0.7x = 6.6 + 0.0
4.4 + 0.7x = 6.6

Add '-4.4' to each side of the equation.
4.4 + -4.4 + 0.7x = 6.6 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 0.7x = 6.6 + -4.4
0.7x = 6.6 + -4.4

Combine like terms: 6.6 + -4.4 = 2.2
0.7x = 2.2

Divide each side by '0.7'.
x = 3.142857143

Simplifying
x = 3.142857143

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