0.1(x+40)+-0.03(x-10)=6.4

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Solution for 0.1(x+40)+-0.03(x-10)=6.4 equation: 


Simplifying
0.1(x + 40) + -0.03(x + -10) = 6.4

Reorder the terms:
0.1(40 + x) + -0.03(x + -10) = 6.4
(40 * 0.1 + x * 0.1) + -0.03(x + -10) = 6.4
(4 + 0.1x) + -0.03(x + -10) = 6.4

Reorder the terms:
4 + 0.1x + -0.03(-10 + x) = 6.4
4 + 0.1x + (-10 * -0.03 + x * -0.03) = 6.4
4 + 0.1x + (0.3 + -0.03x) = 6.4

Reorder the terms:
4 + 0.3 + 0.1x + -0.03x = 6.4

Combine like terms: 4 + 0.3 = 4.3
4.3 + 0.1x + -0.03x = 6.4

Combine like terms: 0.1x + -0.03x = 0.07x
4.3 + 0.07x = 6.4

Solving
4.3 + 0.07x = 6.4

Solving for variable 'x'.

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

Add '-4.3' to each side of the equation.
4.3 + -4.3 + 0.07x = 6.4 + -4.3

Combine like terms: 4.3 + -4.3 = 0.0
0.0 + 0.07x = 6.4 + -4.3
0.07x = 6.4 + -4.3

Combine like terms: 6.4 + -4.3 = 2.1
0.07x = 2.1

Divide each side by '0.07'.
x = 30

Simplifying
x = 30

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