7-.6(x-15)=.1(x-15)

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Solution for 7-.6(x-15)=.1(x-15) equation: 


Simplifying
7 + -0.6(x + -15) = 0.1(x + -15)

Reorder the terms:
7 + -0.6(-15 + x) = 0.1(x + -15)
7 + (-15 * -0.6 + x * -0.6) = 0.1(x + -15)
7 + (9 + -0.6x) = 0.1(x + -15)

Combine like terms: 7 + 9 = 16
16 + -0.6x = 0.1(x + -15)

Reorder the terms:
16 + -0.6x = 0.1(-15 + x)
16 + -0.6x = (-15 * 0.1 + x * 0.1)
16 + -0.6x = (-1.5 + 0.1x)

Solving
16 + -0.6x = -1.5 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
16 + -0.6x + -0.1x = -1.5 + 0.1x + -0.1x

Combine like terms: -0.6x + -0.1x = -0.7x
16 + -0.7x = -1.5 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
16 + -0.7x = -1.5 + 0.0
16 + -0.7x = -1.5

Add '-16' to each side of the equation.
16 + -16 + -0.7x = -1.5 + -16

Combine like terms: 16 + -16 = 0
0 + -0.7x = -1.5 + -16
-0.7x = -1.5 + -16

Combine like terms: -1.5 + -16 = -17.5
-0.7x = -17.5

Divide each side by '-0.7'.
x = 25

Simplifying
x = 25

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