3(x+7)=5x-2

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Solution for 3(x+7)=5x-2 equation:


Simplifying
3(x + 7) = 5x + -2

Reorder the terms:
3(7 + x) = 5x + -2
(7 * 3 + x * 3) = 5x + -2
(21 + 3x) = 5x + -2

Reorder the terms:
21 + 3x = -2 + 5x

Solving
21 + 3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
21 + 3x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
21 + -2x = -2 + 0
21 + -2x = -2

Add '-21' to each side of the equation.
21 + -21 + -2x = -2 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -2 + -21
-2x = -2 + -21

Combine like terms: -2 + -21 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5

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