0.05(x+2)=0.06(x-3)

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Solution for 0.05(x+2)=0.06(x-3) equation: 


Simplifying
0.05(x + 2) = 0.06(x + -3)

Reorder the terms:
0.05(2 + x) = 0.06(x + -3)
(2 * 0.05 + x * 0.05) = 0.06(x + -3)
(0.1 + 0.05x) = 0.06(x + -3)

Reorder the terms:
0.1 + 0.05x = 0.06(-3 + x)
0.1 + 0.05x = (-3 * 0.06 + x * 0.06)
0.1 + 0.05x = (-0.18 + 0.06x)

Solving
0.1 + 0.05x = -0.18 + 0.06x

Solving for variable 'x'.

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

Add '-0.06x' to each side of the equation.
0.1 + 0.05x + -0.06x = -0.18 + 0.06x + -0.06x

Combine like terms: 0.05x + -0.06x = -0.01x
0.1 + -0.01x = -0.18 + 0.06x + -0.06x

Combine like terms: 0.06x + -0.06x = 0.00
0.1 + -0.01x = -0.18 + 0.00
0.1 + -0.01x = -0.18

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.01x = -0.18 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.01x = -0.18 + -0.1
-0.01x = -0.18 + -0.1

Combine like terms: -0.18 + -0.1 = -0.28
-0.01x = -0.28

Divide each side by '-0.01'.
x = 28

Simplifying
x = 28

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