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

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


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

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

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

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

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

Solving
-6 + 2x = 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 + 2x + -10x = 7 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-6 + -8x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -8x = 7 + 0
-6 + -8x = 7

Add '6' to each side of the equation.
-6 + 6 + -8x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 7 + 6
-8x = 7 + 6

Combine like terms: 7 + 6 = 13
-8x = 13

Divide each side by '-8'.
x = -1.625

Simplifying
x = -1.625

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