.8(2x+5)=1.1-(x-3)

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Solution for .8(2x+5)=1.1-(x-3) equation:


Simplifying
0.8(2x + 5) = 1.1 + -1(x + -3)

Reorder the terms:
0.8(5 + 2x) = 1.1 + -1(x + -3)
(5 * 0.8 + 2x * 0.8) = 1.1 + -1(x + -3)
(4 + 1.6x) = 1.1 + -1(x + -3)

Reorder the terms:
4 + 1.6x = 1.1 + -1(-3 + x)
4 + 1.6x = 1.1 + (-3 * -1 + x * -1)
4 + 1.6x = 1.1 + (3 + -1x)

Combine like terms: 1.1 + 3 = 4.1
4 + 1.6x = 4.1 + -1x

Solving
4 + 1.6x = 4.1 + -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.
4 + 1.6x + x = 4.1 + -1x + x

Combine like terms: 1.6x + x = 2.6x
4 + 2.6x = 4.1 + -1x + x

Combine like terms: -1x + x = 0
4 + 2.6x = 4.1 + 0
4 + 2.6x = 4.1

Add '-4' to each side of the equation.
4 + -4 + 2.6x = 4.1 + -4

Combine like terms: 4 + -4 = 0
0 + 2.6x = 4.1 + -4
2.6x = 4.1 + -4

Combine like terms: 4.1 + -4 = 0.1
2.6x = 0.1

Divide each side by '2.6'.
x = 0.03846153846

Simplifying
x = 0.03846153846

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