.15(x+50)-.07(x-20)=6.5

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Solution for .15(x+50)-.07(x-20)=6.5 equation:


Simplifying
0.15(x + 50) + -0.07(x + -20) = 6.5

Reorder the terms:
0.15(50 + x) + -0.07(x + -20) = 6.5
(50 * 0.15 + x * 0.15) + -0.07(x + -20) = 6.5
(7.5 + 0.15x) + -0.07(x + -20) = 6.5

Reorder the terms:
7.5 + 0.15x + -0.07(-20 + x) = 6.5
7.5 + 0.15x + (-20 * -0.07 + x * -0.07) = 6.5
7.5 + 0.15x + (1.4 + -0.07x) = 6.5

Reorder the terms:
7.5 + 1.4 + 0.15x + -0.07x = 6.5

Combine like terms: 7.5 + 1.4 = 8.9
8.9 + 0.15x + -0.07x = 6.5

Combine like terms: 0.15x + -0.07x = 0.08x
8.9 + 0.08x = 6.5

Solving
8.9 + 0.08x = 6.5

Solving for variable 'x'.

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

Add '-8.9' to each side of the equation.
8.9 + -8.9 + 0.08x = 6.5 + -8.9

Combine like terms: 8.9 + -8.9 = 0.0
0.0 + 0.08x = 6.5 + -8.9
0.08x = 6.5 + -8.9

Combine like terms: 6.5 + -8.9 = -2.4
0.08x = -2.4

Divide each side by '0.08'.
x = -30

Simplifying
x = -30

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