0.1(x+20)-0.07(x-40)=3

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Solution for 0.1(x+20)-0.07(x-40)=3 equation:


Simplifying
0.1(x + 20) + -0.07(x + -40) = 3

Reorder the terms:
0.1(20 + x) + -0.07(x + -40) = 3
(20 * 0.1 + x * 0.1) + -0.07(x + -40) = 3
(2 + 0.1x) + -0.07(x + -40) = 3

Reorder the terms:
2 + 0.1x + -0.07(-40 + x) = 3
2 + 0.1x + (-40 * -0.07 + x * -0.07) = 3
2 + 0.1x + (2.8 + -0.07x) = 3

Reorder the terms:
2 + 2.8 + 0.1x + -0.07x = 3

Combine like terms: 2 + 2.8 = 4.8
4.8 + 0.1x + -0.07x = 3

Combine like terms: 0.1x + -0.07x = 0.03x
4.8 + 0.03x = 3

Solving
4.8 + 0.03x = 3

Solving for variable 'x'.

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

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.03x = 3 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.03x = 3 + -4.8
0.03x = 3 + -4.8

Combine like terms: 3 + -4.8 = -1.8
0.03x = -1.8

Divide each side by '0.03'.
x = -60

Simplifying
x = -60

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