(10x-6)=(3x+5)

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Solution for (10x-6)=(3x+5) equation:


Simplifying
(10x + -6) = (3x + 5)

Reorder the terms:
(-6 + 10x) = (3x + 5)

Remove parenthesis around (-6 + 10x)
-6 + 10x = (3x + 5)

Reorder the terms:
-6 + 10x = (5 + 3x)

Remove parenthesis around (5 + 3x)
-6 + 10x = 5 + 3x

Solving
-6 + 10x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 10x + -3x = 5 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-6 + 7x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 7x = 5 + 0
-6 + 7x = 5

Add '6' to each side of the equation.
-6 + 6 + 7x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 5 + 6
7x = 5 + 6

Combine like terms: 5 + 6 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

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