-0.10(52)+0.80x=0.05(x-14)

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Solution for -0.10(52)+0.80x=0.05(x-14) equation: 


Simplifying
-0.10(52) + 0.80x = 0.05(x + -14)

Multiply -0.10 * 52
-5.2 + 0.80x = 0.05(x + -14)

Reorder the terms:
-5.2 + 0.80x = 0.05(-14 + x)
-5.2 + 0.80x = (-14 * 0.05 + x * 0.05)
-5.2 + 0.80x = (-0.7 + 0.05x)

Solving
-5.2 + 0.80x = -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.
-5.2 + 0.80x + -0.05x = -0.7 + 0.05x + -0.05x

Combine like terms: 0.80x + -0.05x = 0.75x
-5.2 + 0.75x = -0.7 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-5.2 + 0.75x = -0.7 + 0.00
-5.2 + 0.75x = -0.7

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 0.75x = -0.7 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 0.75x = -0.7 + 5.2
0.75x = -0.7 + 5.2

Combine like terms: -0.7 + 5.2 = 4.5
0.75x = 4.5

Divide each side by '0.75'.
x = 6

Simplifying
x = 6

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