0.30(480)+55x=0.40(x+480)

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Solution for 0.30(480)+55x=0.40(x+480) equation: 


Simplifying
0.30(480) + 55x = 0.40(x + 480)

Multiply 0.30 * 480
144 + 55x = 0.40(x + 480)

Reorder the terms:
144 + 55x = 0.40(480 + x)
144 + 55x = (480 * 0.40 + x * 0.40)
144 + 55x = (192 + 0.40x)

Solving
144 + 55x = 192 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
144 + 55x + -0.40x = 192 + 0.40x + -0.40x

Combine like terms: 55x + -0.40x = 54.6x
144 + 54.6x = 192 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
144 + 54.6x = 192 + 0.00
144 + 54.6x = 192

Add '-144' to each side of the equation.
144 + -144 + 54.6x = 192 + -144

Combine like terms: 144 + -144 = 0
0 + 54.6x = 192 + -144
54.6x = 192 + -144

Combine like terms: 192 + -144 = 48
54.6x = 48

Divide each side by '54.6'.
x = 0.8791208791

Simplifying
x = 0.8791208791

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