.3(12x+3)+4(6x+1)=43

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Solution for .3(12x+3)+4(6x+1)=43 equation:


Simplifying
0.3(12x + 3) + 4(6x + 1) = 43

Reorder the terms:
0.3(3 + 12x) + 4(6x + 1) = 43
(3 * 0.3 + 12x * 0.3) + 4(6x + 1) = 43
(0.9 + 3.6x) + 4(6x + 1) = 43

Reorder the terms:
0.9 + 3.6x + 4(1 + 6x) = 43
0.9 + 3.6x + (1 * 4 + 6x * 4) = 43
0.9 + 3.6x + (4 + 24x) = 43

Reorder the terms:
0.9 + 4 + 3.6x + 24x = 43

Combine like terms: 0.9 + 4 = 4.9
4.9 + 3.6x + 24x = 43

Combine like terms: 3.6x + 24x = 27.6x
4.9 + 27.6x = 43

Solving
4.9 + 27.6x = 43

Solving for variable 'x'.

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

Add '-4.9' to each side of the equation.
4.9 + -4.9 + 27.6x = 43 + -4.9

Combine like terms: 4.9 + -4.9 = 0.0
0.0 + 27.6x = 43 + -4.9
27.6x = 43 + -4.9

Combine like terms: 43 + -4.9 = 38.1
27.6x = 38.1

Divide each side by '27.6'.
x = 1.380434783

Simplifying
x = 1.380434783

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