-0.10(61)+0.50x=0.05(x-14)

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Solution for -0.10(61)+0.50x=0.05(x-14) equation: 


Simplifying
-0.10(61) + 0.50x = 0.05(x + -14)

Multiply -0.10 * 61
-6.1 + 0.50x = 0.05(x + -14)

Reorder the terms:
-6.1 + 0.50x = 0.05(-14 + x)
-6.1 + 0.50x = (-14 * 0.05 + x * 0.05)
-6.1 + 0.50x = (-0.7 + 0.05x)

Solving
-6.1 + 0.50x = -0.7 + 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.
-6.1 + 0.50x + -0.05x = -0.7 + 0.05x + -0.05x

Combine like terms: 0.50x + -0.05x = 0.45x
-6.1 + 0.45x = -0.7 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-6.1 + 0.45x = -0.7 + 0.00
-6.1 + 0.45x = -0.7

Add '6.1' to each side of the equation.
-6.1 + 6.1 + 0.45x = -0.7 + 6.1

Combine like terms: -6.1 + 6.1 = 0.0
0.0 + 0.45x = -0.7 + 6.1
0.45x = -0.7 + 6.1

Combine like terms: -0.7 + 6.1 = 5.4
0.45x = 5.4

Divide each side by '0.45'.
x = 12

Simplifying
x = 12

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