0.05(x+40)-0.04(x-60)=5

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Solution for 0.05(x+40)-0.04(x-60)=5 equation: 


Simplifying
0.05(x + 40) + -0.04(x + -60) = 5

Reorder the terms:
0.05(40 + x) + -0.04(x + -60) = 5
(40 * 0.05 + x * 0.05) + -0.04(x + -60) = 5
(2 + 0.05x) + -0.04(x + -60) = 5

Reorder the terms:
2 + 0.05x + -0.04(-60 + x) = 5
2 + 0.05x + (-60 * -0.04 + x * -0.04) = 5
2 + 0.05x + (2.4 + -0.04x) = 5

Reorder the terms:
2 + 2.4 + 0.05x + -0.04x = 5

Combine like terms: 2 + 2.4 = 4.4
4.4 + 0.05x + -0.04x = 5

Combine like terms: 0.05x + -0.04x = 0.01x
4.4 + 0.01x = 5

Solving
4.4 + 0.01x = 5

Solving for variable 'x'.

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

Add '-4.4' to each side of the equation.
4.4 + -4.4 + 0.01x = 5 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 0.01x = 5 + -4.4
0.01x = 5 + -4.4

Combine like terms: 5 + -4.4 = 0.6
0.01x = 0.6

Divide each side by '0.01'.
x = 60

Simplifying
x = 60

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