461.25=(4x+20)+4(.65x)

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Solution for 461.25=(4x+20)+4(.65x) equation:


Simplifying
461.25 = (4x + 20) + 4(0.65x)

Reorder the terms:
461.25 = (20 + 4x) + 4(0.65x)

Remove parenthesis around (20 + 4x)
461.25 = 20 + 4x + 4(0.65x)

Remove parenthesis around (0.65x)
461.25 = 20 + 4x + 4 * 0.65x

Multiply 4 * 0.65
461.25 = 20 + 4x + 2.6x

Combine like terms: 4x + 2.6x = 6.6x
461.25 = 20 + 6.6x

Solving
461.25 = 20 + 6.6x

Solving for variable 'x'.

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

Add '-6.6x' to each side of the equation.
461.25 + -6.6x = 20 + 6.6x + -6.6x

Combine like terms: 6.6x + -6.6x = 0.0
461.25 + -6.6x = 20 + 0.0
461.25 + -6.6x = 20

Add '-461.25' to each side of the equation.
461.25 + -461.25 + -6.6x = 20 + -461.25

Combine like terms: 461.25 + -461.25 = 0.00
0.00 + -6.6x = 20 + -461.25
-6.6x = 20 + -461.25

Combine like terms: 20 + -461.25 = -441.25
-6.6x = -441.25

Divide each side by '-6.6'.
x = 66.85606061

Simplifying
x = 66.85606061

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