10(4.1x+10-5.1x)=10(x)

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Solution for 10(4.1x+10-5.1x)=10(x) equation: 


Simplifying
10(4.1x + 10 + -5.1x) = 10(x)

Reorder the terms:
10(10 + 4.1x + -5.1x) = 10(x)

Combine like terms: 4.1x + -5.1x = -1x
10(10 + -1x) = 10(x)
(10 * 10 + -1x * 10) = 10(x)
(100 + -10x) = 10(x)

Solving
100 + -10x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
100 + -10x + -10x = 10x + -10x

Combine like terms: -10x + -10x = -20x
100 + -20x = 10x + -10x

Combine like terms: 10x + -10x = 0
100 + -20x = 0

Add '-100' to each side of the equation.
100 + -100 + -20x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -20x = 0 + -100
-20x = 0 + -100

Combine like terms: 0 + -100 = -100
-20x = -100

Divide each side by '-20'.
x = 5

Simplifying
x = 5

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