2(x+7)=3x-7

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Solution for 2(x+7)=3x-7 equation:


Simplifying
2(x + 7) = 3x + -7

Reorder the terms:
2(7 + x) = 3x + -7
(7 * 2 + x * 2) = 3x + -7
(14 + 2x) = 3x + -7

Reorder the terms:
14 + 2x = -7 + 3x

Solving
14 + 2x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -7 + 0
14 + -1x = -7

Add '-14' to each side of the equation.
14 + -14 + -1x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -7 + -14
-1x = -7 + -14

Combine like terms: -7 + -14 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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