0.05(x+50)-0.07(x-60)=6.5

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Solution for 0.05(x+50)-0.07(x-60)=6.5 equation: 


Simplifying
0.05(x + 50) + -0.07(x + -60) = 6.5

Reorder the terms:
0.05(50 + x) + -0.07(x + -60) = 6.5
(50 * 0.05 + x * 0.05) + -0.07(x + -60) = 6.5
(2.5 + 0.05x) + -0.07(x + -60) = 6.5

Reorder the terms:
2.5 + 0.05x + -0.07(-60 + x) = 6.5
2.5 + 0.05x + (-60 * -0.07 + x * -0.07) = 6.5
2.5 + 0.05x + (4.2 + -0.07x) = 6.5

Reorder the terms:
2.5 + 4.2 + 0.05x + -0.07x = 6.5

Combine like terms: 2.5 + 4.2 = 6.7
6.7 + 0.05x + -0.07x = 6.5

Combine like terms: 0.05x + -0.07x = -0.02x
6.7 + -0.02x = 6.5

Solving
6.7 + -0.02x = 6.5

Solving for variable 'x'.

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

Add '-6.7' to each side of the equation.
6.7 + -6.7 + -0.02x = 6.5 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + -0.02x = 6.5 + -6.7
-0.02x = 6.5 + -6.7

Combine like terms: 6.5 + -6.7 = -0.2
-0.02x = -0.2

Divide each side by '-0.02'.
x = 10

Simplifying
x = 10

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