0.3(2x+7)=1.1-(x-9)

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Solution for 0.3(2x+7)=1.1-(x-9) equation: 


Simplifying
0.3(2x + 7) = 1.1 + -1(x + -9)

Reorder the terms:
0.3(7 + 2x) = 1.1 + -1(x + -9)
(7 * 0.3 + 2x * 0.3) = 1.1 + -1(x + -9)
(2.1 + 0.6x) = 1.1 + -1(x + -9)

Reorder the terms:
2.1 + 0.6x = 1.1 + -1(-9 + x)
2.1 + 0.6x = 1.1 + (-9 * -1 + x * -1)
2.1 + 0.6x = 1.1 + (9 + -1x)

Combine like terms: 1.1 + 9 = 10.1
2.1 + 0.6x = 10.1 + -1x

Solving
2.1 + 0.6x = 10.1 + -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.
2.1 + 0.6x + x = 10.1 + -1x + x

Combine like terms: 0.6x + x = 1.6x
2.1 + 1.6x = 10.1 + -1x + x

Combine like terms: -1x + x = 0
2.1 + 1.6x = 10.1 + 0
2.1 + 1.6x = 10.1

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 1.6x = 10.1 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 1.6x = 10.1 + -2.1
1.6x = 10.1 + -2.1

Combine like terms: 10.1 + -2.1 = 8
1.6x = 8

Divide each side by '1.6'.
x = 5

Simplifying
x = 5

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