3(x-5)+1=.25(2x-8)

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Solution for 3(x-5)+1=.25(2x-8) equation: 


Simplifying
3(x + -5) + 1 = 0.25(2x + -8)

Reorder the terms:
3(-5 + x) + 1 = 0.25(2x + -8)
(-5 * 3 + x * 3) + 1 = 0.25(2x + -8)
(-15 + 3x) + 1 = 0.25(2x + -8)

Reorder the terms:
-15 + 1 + 3x = 0.25(2x + -8)

Combine like terms: -15 + 1 = -14
-14 + 3x = 0.25(2x + -8)

Reorder the terms:
-14 + 3x = 0.25(-8 + 2x)
-14 + 3x = (-8 * 0.25 + 2x * 0.25)
-14 + 3x = (-2 + 0.5x)

Solving
-14 + 3x = -2 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-14 + 3x + -0.5x = -2 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-14 + 2.5x = -2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-14 + 2.5x = -2 + 0.0
-14 + 2.5x = -2

Add '14' to each side of the equation.
-14 + 14 + 2.5x = -2 + 14

Combine like terms: -14 + 14 = 0
0 + 2.5x = -2 + 14
2.5x = -2 + 14

Combine like terms: -2 + 14 = 12
2.5x = 12

Divide each side by '2.5'.
x = 4.8

Simplifying
x = 4.8

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