0.09(x+300)+0.11(5x-129)=0.2(6.45-4x)

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Solution for 0.09(x+300)+0.11(5x-129)=0.2(6.45-4x) equation: 


Simplifying
0.09(x + 300) + 0.11(5x + -129) = 0.2(6.45 + -4x)

Reorder the terms:
0.09(300 + x) + 0.11(5x + -129) = 0.2(6.45 + -4x)
(300 * 0.09 + x * 0.09) + 0.11(5x + -129) = 0.2(6.45 + -4x)
(27 + 0.09x) + 0.11(5x + -129) = 0.2(6.45 + -4x)

Reorder the terms:
27 + 0.09x + 0.11(-129 + 5x) = 0.2(6.45 + -4x)
27 + 0.09x + (-129 * 0.11 + 5x * 0.11) = 0.2(6.45 + -4x)
27 + 0.09x + (-14.19 + 0.55x) = 0.2(6.45 + -4x)

Reorder the terms:
27 + -14.19 + 0.09x + 0.55x = 0.2(6.45 + -4x)

Combine like terms: 27 + -14.19 = 12.81
12.81 + 0.09x + 0.55x = 0.2(6.45 + -4x)

Combine like terms: 0.09x + 0.55x = 0.64x
12.81 + 0.64x = 0.2(6.45 + -4x)
12.81 + 0.64x = (6.45 * 0.2 + -4x * 0.2)
12.81 + 0.64x = (1.29 + -0.8x)

Solving
12.81 + 0.64x = 1.29 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
12.81 + 0.64x + 0.8x = 1.29 + -0.8x + 0.8x

Combine like terms: 0.64x + 0.8x = 1.44x
12.81 + 1.44x = 1.29 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
12.81 + 1.44x = 1.29 + 0.0
12.81 + 1.44x = 1.29

Add '-12.81' to each side of the equation.
12.81 + -12.81 + 1.44x = 1.29 + -12.81

Combine like terms: 12.81 + -12.81 = 0.00
0.00 + 1.44x = 1.29 + -12.81
1.44x = 1.29 + -12.81

Combine like terms: 1.29 + -12.81 = -11.52
1.44x = -11.52

Divide each side by '1.44'.
x = -8

Simplifying
x = -8

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