(6x+10)=(7x-2)

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Solution for (6x+10)=(7x-2) equation:


Simplifying
(6x + 10) = (7x + -2)

Reorder the terms:
(10 + 6x) = (7x + -2)

Remove parenthesis around (10 + 6x)
10 + 6x = (7x + -2)

Reorder the terms:
10 + 6x = (-2 + 7x)

Remove parenthesis around (-2 + 7x)
10 + 6x = -2 + 7x

Solving
10 + 6x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 6x + -7x = -2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
10 + -1x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -1x = -2 + 0
10 + -1x = -2

Add '-10' to each side of the equation.
10 + -10 + -1x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -2 + -10
-1x = -2 + -10

Combine like terms: -2 + -10 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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