.5(10x-6)=x-15

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


Simplifying
0.5(10x + -6) = x + -15

Reorder the terms:
0.5(-6 + 10x) = x + -15
(-6 * 0.5 + 10x * 0.5) = x + -15
(-3 + 5x) = x + -15

Reorder the terms:
-3 + 5x = -15 + x

Solving
-3 + 5x = -15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 5x + -1x = -15 + x + -1x

Combine like terms: 5x + -1x = 4x
-3 + 4x = -15 + x + -1x

Combine like terms: x + -1x = 0
-3 + 4x = -15 + 0
-3 + 4x = -15

Add '3' to each side of the equation.
-3 + 3 + 4x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -15 + 3
4x = -15 + 3

Combine like terms: -15 + 3 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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