-0.10(53)+0.45x=0.05(x-10)

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Solution for -0.10(53)+0.45x=0.05(x-10) equation: 


Simplifying
-0.10(53) + 0.45x = 0.05(x + -10)

Multiply -0.10 * 53
-5.3 + 0.45x = 0.05(x + -10)

Reorder the terms:
-5.3 + 0.45x = 0.05(-10 + x)
-5.3 + 0.45x = (-10 * 0.05 + x * 0.05)
-5.3 + 0.45x = (-0.5 + 0.05x)

Solving
-5.3 + 0.45x = -0.5 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-5.3 + 0.45x + -0.05x = -0.5 + 0.05x + -0.05x

Combine like terms: 0.45x + -0.05x = 0.4x
-5.3 + 0.4x = -0.5 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-5.3 + 0.4x = -0.5 + 0.00
-5.3 + 0.4x = -0.5

Add '5.3' to each side of the equation.
-5.3 + 5.3 + 0.4x = -0.5 + 5.3

Combine like terms: -5.3 + 5.3 = 0.0
0.0 + 0.4x = -0.5 + 5.3
0.4x = -0.5 + 5.3

Combine like terms: -0.5 + 5.3 = 4.8
0.4x = 4.8

Divide each side by '0.4'.
x = 12

Simplifying
x = 12

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