.3(33-18x)+3=2(8-4x)

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Solution for .3(33-18x)+3=2(8-4x) equation:


Simplifying
0.3(33 + -18x) + 3 = 2(8 + -4x)
(33 * 0.3 + -18x * 0.3) + 3 = 2(8 + -4x)
(9.9 + -5.4x) + 3 = 2(8 + -4x)

Reorder the terms:
9.9 + 3 + -5.4x = 2(8 + -4x)

Combine like terms: 9.9 + 3 = 12.9
12.9 + -5.4x = 2(8 + -4x)
12.9 + -5.4x = (8 * 2 + -4x * 2)
12.9 + -5.4x = (16 + -8x)

Solving
12.9 + -5.4x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12.9 + -5.4x + 8x = 16 + -8x + 8x

Combine like terms: -5.4x + 8x = 2.6x
12.9 + 2.6x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
12.9 + 2.6x = 16 + 0
12.9 + 2.6x = 16

Add '-12.9' to each side of the equation.
12.9 + -12.9 + 2.6x = 16 + -12.9

Combine like terms: 12.9 + -12.9 = 0.0
0.0 + 2.6x = 16 + -12.9
2.6x = 16 + -12.9

Combine like terms: 16 + -12.9 = 3.1
2.6x = 3.1

Divide each side by '2.6'.
x = 1.192307692

Simplifying
x = 1.192307692

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