2(2x+5)=6x-14

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Solution for 2(2x+5)=6x-14 equation:


Simplifying
2(2x + 5) = 6x + -14

Reorder the terms:
2(5 + 2x) = 6x + -14
(5 * 2 + 2x * 2) = 6x + -14
(10 + 4x) = 6x + -14

Reorder the terms:
10 + 4x = -14 + 6x

Solving
10 + 4x = -14 + 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.
10 + 4x + -6x = -14 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
10 + -2x = -14 + 0
10 + -2x = -14

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

Combine like terms: 10 + -10 = 0
0 + -2x = -14 + -10
-2x = -14 + -10

Combine like terms: -14 + -10 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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