.5(x-8)+10=.6(x-15)+9

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Solution for .5(x-8)+10=.6(x-15)+9 equation:


Simplifying
0.5(x + -8) + 10 = 0.6(x + -15) + 9

Reorder the terms:
0.5(-8 + x) + 10 = 0.6(x + -15) + 9
(-8 * 0.5 + x * 0.5) + 10 = 0.6(x + -15) + 9
(-4 + 0.5x) + 10 = 0.6(x + -15) + 9

Reorder the terms:
-4 + 10 + 0.5x = 0.6(x + -15) + 9

Combine like terms: -4 + 10 = 6
6 + 0.5x = 0.6(x + -15) + 9

Reorder the terms:
6 + 0.5x = 0.6(-15 + x) + 9
6 + 0.5x = (-15 * 0.6 + x * 0.6) + 9
6 + 0.5x = (-9 + 0.6x) + 9

Reorder the terms:
6 + 0.5x = -9 + 9 + 0.6x

Combine like terms: -9 + 9 = 0
6 + 0.5x = 0 + 0.6x
6 + 0.5x = 0.6x

Solving
6 + 0.5x = 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
6 + 0.5x + -0.6x = 0.6x + -0.6x

Combine like terms: 0.5x + -0.6x = -0.1x
6 + -0.1x = 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
6 + -0.1x = 0.0

Add '-6' to each side of the equation.
6 + -6 + -0.1x = 0.0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.1x = 0.0 + -6
-0.1x = 0.0 + -6

Combine like terms: 0.0 + -6 = -6
-0.1x = -6

Divide each side by '-0.1'.
x = 60

Simplifying
x = 60

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