(6x+13)=(10x-7)

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Solution for (6x+13)=(10x-7) equation:


Simplifying
(6x + 13) = (10x + -7)

Reorder the terms:
(13 + 6x) = (10x + -7)

Remove parenthesis around (13 + 6x)
13 + 6x = (10x + -7)

Reorder the terms:
13 + 6x = (-7 + 10x)

Remove parenthesis around (-7 + 10x)
13 + 6x = -7 + 10x

Solving
13 + 6x = -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.
13 + 6x + -10x = -7 + 10x + -10x

Combine like terms: 6x + -10x = -4x
13 + -4x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + -4x = -7 + 0
13 + -4x = -7

Add '-13' to each side of the equation.
13 + -13 + -4x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -7 + -13
-4x = -7 + -13

Combine like terms: -7 + -13 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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