0.1(x+10)-0.03(x-30)=6.1

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Solution for 0.1(x+10)-0.03(x-30)=6.1 equation: 


Simplifying
0.1(x + 10) + -0.03(x + -30) = 6.1

Reorder the terms:
0.1(10 + x) + -0.03(x + -30) = 6.1
(10 * 0.1 + x * 0.1) + -0.03(x + -30) = 6.1
(1 + 0.1x) + -0.03(x + -30) = 6.1

Reorder the terms:
1 + 0.1x + -0.03(-30 + x) = 6.1
1 + 0.1x + (-30 * -0.03 + x * -0.03) = 6.1
1 + 0.1x + (0.9 + -0.03x) = 6.1

Reorder the terms:
1 + 0.9 + 0.1x + -0.03x = 6.1

Combine like terms: 1 + 0.9 = 1.9
1.9 + 0.1x + -0.03x = 6.1

Combine like terms: 0.1x + -0.03x = 0.07x
1.9 + 0.07x = 6.1

Solving
1.9 + 0.07x = 6.1

Solving for variable 'x'.

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

Add '-1.9' to each side of the equation.
1.9 + -1.9 + 0.07x = 6.1 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + 0.07x = 6.1 + -1.9
0.07x = 6.1 + -1.9

Combine like terms: 6.1 + -1.9 = 4.2
0.07x = 4.2

Divide each side by '0.07'.
x = 60

Simplifying
x = 60

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