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

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


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

Reorder the terms:
2(7 + x) + 3 = 5x + -2
(7 * 2 + x * 2) + 3 = 5x + -2
(14 + 2x) + 3 = 5x + -2

Reorder the terms:
14 + 3 + 2x = 5x + -2

Combine like terms: 14 + 3 = 17
17 + 2x = 5x + -2

Reorder the terms:
17 + 2x = -2 + 5x

Solving
17 + 2x = -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.
17 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
17 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -3x = -2 + 0
17 + -3x = -2

Add '-17' to each side of the equation.
17 + -17 + -3x = -2 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -2 + -17
-3x = -2 + -17

Combine like terms: -2 + -17 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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