.3(11x+4)=2.1-(x+8)

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Solution for .3(11x+4)=2.1-(x+8) equation: 


Simplifying
0.3(11x + 4) = 2.1 + -1(x + 8)

Reorder the terms:
0.3(4 + 11x) = 2.1 + -1(x + 8)
(4 * 0.3 + 11x * 0.3) = 2.1 + -1(x + 8)
(1.2 + 3.3x) = 2.1 + -1(x + 8)

Reorder the terms:
1.2 + 3.3x = 2.1 + -1(8 + x)
1.2 + 3.3x = 2.1 + (8 * -1 + x * -1)
1.2 + 3.3x = 2.1 + (-8 + -1x)

Combine like terms: 2.1 + -8 = -5.9
1.2 + 3.3x = -5.9 + -1x

Solving
1.2 + 3.3x = -5.9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1.2 + 3.3x + x = -5.9 + -1x + x

Combine like terms: 3.3x + x = 4.3x
1.2 + 4.3x = -5.9 + -1x + x

Combine like terms: -1x + x = 0
1.2 + 4.3x = -5.9 + 0
1.2 + 4.3x = -5.9

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 4.3x = -5.9 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 4.3x = -5.9 + -1.2
4.3x = -5.9 + -1.2

Combine like terms: -5.9 + -1.2 = -7.1
4.3x = -7.1

Divide each side by '4.3'.
x = -1.651162791

Simplifying
x = -1.651162791

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