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

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


Simplifying
2(x + 7) = 3(7 + -1x)

Reorder the terms:
2(7 + x) = 3(7 + -1x)
(7 * 2 + x * 2) = 3(7 + -1x)
(14 + 2x) = 3(7 + -1x)
14 + 2x = (7 * 3 + -1x * 3)
14 + 2x = (21 + -3x)

Solving
14 + 2x = 21 + -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 = 21 + -3x + 3x

Combine like terms: 2x + 3x = 5x
14 + 5x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 5x = 21 + 0
14 + 5x = 21

Add '-14' to each side of the equation.
14 + -14 + 5x = 21 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 21 + -14
5x = 21 + -14

Combine like terms: 21 + -14 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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