2(x+7)=6x-10

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


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

Reorder the terms:
2(7 + x) = 6x + -10
(7 * 2 + x * 2) = 6x + -10
(14 + 2x) = 6x + -10

Reorder the terms:
14 + 2x = -10 + 6x

Solving
14 + 2x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 2x + -6x = -10 + 6x + -6x

Combine like terms: 2x + -6x = -4x
14 + -4x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -4x = -10 + 0
14 + -4x = -10

Add '-14' to each side of the equation.
14 + -14 + -4x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -10 + -14
-4x = -10 + -14

Combine like terms: -10 + -14 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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