0.45(24)+0.05x=0.15(24+x)

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Solution for 0.45(24)+0.05x=0.15(24+x) equation: 


Simplifying
0.45(24) + 0.05x = 0.15(24 + x)

Multiply 0.45 * 24
10.8 + 0.05x = 0.15(24 + x)
10.8 + 0.05x = (24 * 0.15 + x * 0.15)
10.8 + 0.05x = (3.6 + 0.15x)

Solving
10.8 + 0.05x = 3.6 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
10.8 + 0.05x + -0.15x = 3.6 + 0.15x + -0.15x

Combine like terms: 0.05x + -0.15x = -0.1x
10.8 + -0.1x = 3.6 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
10.8 + -0.1x = 3.6 + 0.00
10.8 + -0.1x = 3.6

Add '-10.8' to each side of the equation.
10.8 + -10.8 + -0.1x = 3.6 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + -0.1x = 3.6 + -10.8
-0.1x = 3.6 + -10.8

Combine like terms: 3.6 + -10.8 = -7.2
-0.1x = -7.2

Divide each side by '-0.1'.
x = 72

Simplifying
x = 72

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