x+5=.3(5x-5)

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Solution for x+5=.3(5x-5) equation:


Simplifying
x + 5 = 0.3(5x + -5)

Reorder the terms:
5 + x = 0.3(5x + -5)

Reorder the terms:
5 + x = 0.3(-5 + 5x)
5 + x = (-5 * 0.3 + 5x * 0.3)
5 + x = (-1.5 + 1.5x)

Solving
5 + x = -1.5 + 1.5x

Solving for variable 'x'.

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

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

Combine like terms: x + -1.5x = -0.5x
5 + -0.5x = -1.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
5 + -0.5x = -1.5 + 0.0
5 + -0.5x = -1.5

Add '-5' to each side of the equation.
5 + -5 + -0.5x = -1.5 + -5

Combine like terms: 5 + -5 = 0
0 + -0.5x = -1.5 + -5
-0.5x = -1.5 + -5

Combine like terms: -1.5 + -5 = -6.5
-0.5x = -6.5

Divide each side by '-0.5'.
x = 13

Simplifying
x = 13

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