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

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


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

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

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

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

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

Reorder the terms:
6 + 9x = (-7 + 10x)

Remove parenthesis around (-7 + 10x)
6 + 9x = -7 + 10x

Solving
6 + 9x = -7 + 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.
6 + 9x + -10x = -7 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
6 + -1x = -7 + 0
6 + -1x = -7

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

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

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

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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