0.5x-15=0.1(x+10)

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Solution for 0.5x-15=0.1(x+10) equation: 


Simplifying
0.5x + -15 = 0.1(x + 10)

Reorder the terms:
-15 + 0.5x = 0.1(x + 10)

Reorder the terms:
-15 + 0.5x = 0.1(10 + x)
-15 + 0.5x = (10 * 0.1 + x * 0.1)
-15 + 0.5x = (1 + 0.1x)

Solving
-15 + 0.5x = 1 + 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.
-15 + 0.5x + -0.1x = 1 + 0.1x + -0.1x

Combine like terms: 0.5x + -0.1x = 0.4x
-15 + 0.4x = 1 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-15 + 0.4x = 1 + 0.0
-15 + 0.4x = 1

Add '15' to each side of the equation.
-15 + 15 + 0.4x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 0.4x = 1 + 15
0.4x = 1 + 15

Combine like terms: 1 + 15 = 16
0.4x = 16

Divide each side by '0.4'.
x = 40

Simplifying
x = 40

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