0.3(x+5)=5(0.11x+0.1)

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Solution for 0.3(x+5)=5(0.11x+0.1) equation: 


Simplifying
0.3(x + 5) = 5(0.11x + 0.1)

Reorder the terms:
0.3(5 + x) = 5(0.11x + 0.1)
(5 * 0.3 + x * 0.3) = 5(0.11x + 0.1)
(1.5 + 0.3x) = 5(0.11x + 0.1)

Reorder the terms:
1.5 + 0.3x = 5(0.1 + 0.11x)
1.5 + 0.3x = (0.1 * 5 + 0.11x * 5)
1.5 + 0.3x = (0.5 + 0.55x)

Solving
1.5 + 0.3x = 0.5 + 0.55x

Solving for variable 'x'.

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

Add '-0.55x' to each side of the equation.
1.5 + 0.3x + -0.55x = 0.5 + 0.55x + -0.55x

Combine like terms: 0.3x + -0.55x = -0.25x
1.5 + -0.25x = 0.5 + 0.55x + -0.55x

Combine like terms: 0.55x + -0.55x = 0.00
1.5 + -0.25x = 0.5 + 0.00
1.5 + -0.25x = 0.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.25x = 0.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.25x = 0.5 + -1.5
-0.25x = 0.5 + -1.5

Combine like terms: 0.5 + -1.5 = -1
-0.25x = -1

Divide each side by '-0.25'.
x = 4

Simplifying
x = 4

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