(10x-7)=(5x)+(4x+6)

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Solution for (10x-7)=(5x)+(4x+6) equation:


Simplifying
(10x + -7) = (5x) + (4x + 6)

Reorder the terms:
(-7 + 10x) = (5x) + (4x + 6)

Remove parenthesis around (-7 + 10x)
-7 + 10x = (5x) + (4x + 6)

Reorder the terms:
-7 + 10x = (5x) + (6 + 4x)

Remove parenthesis around (6 + 4x)
-7 + 10x = (5x) + 6 + 4x

Reorder the terms:
-7 + 10x = 6 + (5x) + 4x

Combine like terms: (5x) + 4x = 9x
-7 + 10x = 6 + 9x

Solving
-7 + 10x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 10x + -9x = 6 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-7 + 1x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + 1x = 6 + 0
-7 + 1x = 6

Add '7' to each side of the equation.
-7 + 7 + 1x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 6 + 7
1x = 6 + 7

Combine like terms: 6 + 7 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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