0.1(x+30)-0.08(x-40)=5

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Solution for 0.1(x+30)-0.08(x-40)=5 equation: 


Simplifying
0.1(x + 30) + -0.08(x + -40) = 5

Reorder the terms:
0.1(30 + x) + -0.08(x + -40) = 5
(30 * 0.1 + x * 0.1) + -0.08(x + -40) = 5
(3 + 0.1x) + -0.08(x + -40) = 5

Reorder the terms:
3 + 0.1x + -0.08(-40 + x) = 5
3 + 0.1x + (-40 * -0.08 + x * -0.08) = 5
3 + 0.1x + (3.2 + -0.08x) = 5

Reorder the terms:
3 + 3.2 + 0.1x + -0.08x = 5

Combine like terms: 3 + 3.2 = 6.2
6.2 + 0.1x + -0.08x = 5

Combine like terms: 0.1x + -0.08x = 0.02x
6.2 + 0.02x = 5

Solving
6.2 + 0.02x = 5

Solving for variable 'x'.

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

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 0.02x = 5 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 0.02x = 5 + -6.2
0.02x = 5 + -6.2

Combine like terms: 5 + -6.2 = -1.2
0.02x = -1.2

Divide each side by '0.02'.
x = -60

Simplifying
x = -60

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