4.2+x=0.25(x+36)

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Solution for 4.2+x=0.25(x+36) equation: 


Simplifying
4.2 + x = 0.25(x + 36)

Reorder the terms:
4.2 + x = 0.25(36 + x)
4.2 + x = (36 * 0.25 + x * 0.25)
4.2 + x = (9 + 0.25x)

Solving
4.2 + x = 9 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
4.2 + x + -0.25x = 9 + 0.25x + -0.25x

Combine like terms: x + -0.25x = 0.75x
4.2 + 0.75x = 9 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
4.2 + 0.75x = 9 + 0.00
4.2 + 0.75x = 9

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 0.75x = 9 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 0.75x = 9 + -4.2
0.75x = 9 + -4.2

Combine like terms: 9 + -4.2 = 4.8
0.75x = 4.8

Divide each side by '0.75'.
x = 6.4

Simplifying
x = 6.4

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