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

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


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

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

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

Remove parenthesis around (-3 + 2x)
21 + 3x = -3 + 2x + -5

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

Combine like terms: -3 + -5 = -8
21 + 3x = -8 + 2x

Solving
21 + 3x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
21 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 1x = -8 + 0
21 + 1x = -8

Add '-21' to each side of the equation.
21 + -21 + 1x = -8 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -8 + -21
1x = -8 + -21

Combine like terms: -8 + -21 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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