0.5(5x+8)=1.1-(x-3)

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Solution for 0.5(5x+8)=1.1-(x-3) equation:


Simplifying
0.5(5x + 8) = 1.1 + -1(x + -3)

Reorder the terms:
0.5(8 + 5x) = 1.1 + -1(x + -3)
(8 * 0.5 + 5x * 0.5) = 1.1 + -1(x + -3)
(4 + 2.5x) = 1.1 + -1(x + -3)

Reorder the terms:
4 + 2.5x = 1.1 + -1(-3 + x)
4 + 2.5x = 1.1 + (-3 * -1 + x * -1)
4 + 2.5x = 1.1 + (3 + -1x)

Combine like terms: 1.1 + 3 = 4.1
4 + 2.5x = 4.1 + -1x

Solving
4 + 2.5x = 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 + 2.5x + x = 4.1 + -1x + x

Combine like terms: 2.5x + x = 3.5x
4 + 3.5x = 4.1 + -1x + x

Combine like terms: -1x + x = 0
4 + 3.5x = 4.1 + 0
4 + 3.5x = 4.1

Add '-4' to each side of the equation.
4 + -4 + 3.5x = 4.1 + -4

Combine like terms: 4 + -4 = 0
0 + 3.5x = 4.1 + -4
3.5x = 4.1 + -4

Combine like terms: 4.1 + -4 = 0.1
3.5x = 0.1

Divide each side by '3.5'.
x = 0.02857142857

Simplifying
x = 0.02857142857

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