0.1(4x+57)=0.3(2x+11)

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Solution for 0.1(4x+57)=0.3(2x+11) equation: 


Simplifying
0.1(4x + 57) = 0.3(2x + 11)

Reorder the terms:
0.1(57 + 4x) = 0.3(2x + 11)
(57 * 0.1 + 4x * 0.1) = 0.3(2x + 11)
(5.7 + 0.4x) = 0.3(2x + 11)

Reorder the terms:
5.7 + 0.4x = 0.3(11 + 2x)
5.7 + 0.4x = (11 * 0.3 + 2x * 0.3)
5.7 + 0.4x = (3.3 + 0.6x)

Solving
5.7 + 0.4x = 3.3 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
5.7 + 0.4x + -0.6x = 3.3 + 0.6x + -0.6x

Combine like terms: 0.4x + -0.6x = -0.2x
5.7 + -0.2x = 3.3 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
5.7 + -0.2x = 3.3 + 0.0
5.7 + -0.2x = 3.3

Add '-5.7' to each side of the equation.
5.7 + -5.7 + -0.2x = 3.3 + -5.7

Combine like terms: 5.7 + -5.7 = 0.0
0.0 + -0.2x = 3.3 + -5.7
-0.2x = 3.3 + -5.7

Combine like terms: 3.3 + -5.7 = -2.4
-0.2x = -2.4

Divide each side by '-0.2'.
x = 12

Simplifying
x = 12

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