2x+7=3(14-x)

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Solution for 2x+7=3(14-x) equation:


Simplifying
2x + 7 = 3(14 + -1x)

Reorder the terms:
7 + 2x = 3(14 + -1x)
7 + 2x = (14 * 3 + -1x * 3)
7 + 2x = (42 + -3x)

Solving
7 + 2x = 42 + -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.
7 + 2x + 3x = 42 + -3x + 3x

Combine like terms: 2x + 3x = 5x
7 + 5x = 42 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 5x = 42 + 0
7 + 5x = 42

Add '-7' to each side of the equation.
7 + -7 + 5x = 42 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 42 + -7
5x = 42 + -7

Combine like terms: 42 + -7 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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