0.1(x+30)-0.07(x-50)=8

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Solution for 0.1(x+30)-0.07(x-50)=8 equation:


Simplifying
0.1(x + 30) + -0.07(x + -50) = 8

Reorder the terms:
0.1(30 + x) + -0.07(x + -50) = 8
(30 * 0.1 + x * 0.1) + -0.07(x + -50) = 8
(3 + 0.1x) + -0.07(x + -50) = 8

Reorder the terms:
3 + 0.1x + -0.07(-50 + x) = 8
3 + 0.1x + (-50 * -0.07 + x * -0.07) = 8
3 + 0.1x + (3.5 + -0.07x) = 8

Reorder the terms:
3 + 3.5 + 0.1x + -0.07x = 8

Combine like terms: 3 + 3.5 = 6.5
6.5 + 0.1x + -0.07x = 8

Combine like terms: 0.1x + -0.07x = 0.03x
6.5 + 0.03x = 8

Solving
6.5 + 0.03x = 8

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.03x = 8 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.03x = 8 + -6.5
0.03x = 8 + -6.5

Combine like terms: 8 + -6.5 = 1.5
0.03x = 1.5

Divide each side by '0.03'.
x = 50

Simplifying
x = 50

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