0.05(x+10)-0.04(x-40)=1.8

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Solution for 0.05(x+10)-0.04(x-40)=1.8 equation: 


Simplifying
0.05(x + 10) + -0.04(x + -40) = 1.8

Reorder the terms:
0.05(10 + x) + -0.04(x + -40) = 1.8
(10 * 0.05 + x * 0.05) + -0.04(x + -40) = 1.8
(0.5 + 0.05x) + -0.04(x + -40) = 1.8

Reorder the terms:
0.5 + 0.05x + -0.04(-40 + x) = 1.8
0.5 + 0.05x + (-40 * -0.04 + x * -0.04) = 1.8
0.5 + 0.05x + (1.6 + -0.04x) = 1.8

Reorder the terms:
0.5 + 1.6 + 0.05x + -0.04x = 1.8

Combine like terms: 0.5 + 1.6 = 2.1
2.1 + 0.05x + -0.04x = 1.8

Combine like terms: 0.05x + -0.04x = 0.01x
2.1 + 0.01x = 1.8

Solving
2.1 + 0.01x = 1.8

Solving for variable 'x'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 0.01x = 1.8 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 0.01x = 1.8 + -2.1
0.01x = 1.8 + -2.1

Combine like terms: 1.8 + -2.1 = -0.3
0.01x = -0.3

Divide each side by '0.01'.
x = -30

Simplifying
x = -30

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