10(4.1x+10-5.1x)=7

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Solution for 10(4.1x+10-5.1x)=7 equation:


Simplifying
10(4.1x + 10 + -5.1x) = 7

Reorder the terms:
10(10 + 4.1x + -5.1x) = 7

Combine like terms: 4.1x + -5.1x = -1x
10(10 + -1x) = 7
(10 * 10 + -1x * 10) = 7
(100 + -10x) = 7

Solving
100 + -10x = 7

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + -10x = 7 + -100

Combine like terms: 100 + -100 = 0
0 + -10x = 7 + -100
-10x = 7 + -100

Combine like terms: 7 + -100 = -93
-10x = -93

Divide each side by '-10'.
x = 9.3

Simplifying
x = 9.3

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