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

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


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

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

Combine like terms: 2 + -7 = -5
21 + 3x = 2(-5) + x

Multiply 2 * -5
21 + 3x = -10 + x

Solving
21 + 3x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
21 + 3x + -1x = -10 + x + -1x

Combine like terms: 3x + -1x = 2x
21 + 2x = -10 + x + -1x

Combine like terms: x + -1x = 0
21 + 2x = -10 + 0
21 + 2x = -10

Add '-21' to each side of the equation.
21 + -21 + 2x = -10 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = -10 + -21
2x = -10 + -21

Combine like terms: -10 + -21 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5

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