7(x+3)=3x-19

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Solution for 7(x+3)=3x-19 equation:


Simplifying
7(x + 3) = 3x + -19

Reorder the terms:
7(3 + x) = 3x + -19
(3 * 7 + x * 7) = 3x + -19
(21 + 7x) = 3x + -19

Reorder the terms:
21 + 7x = -19 + 3x

Solving
21 + 7x = -19 + 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.
21 + 7x + -3x = -19 + 3x + -3x

Combine like terms: 7x + -3x = 4x
21 + 4x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + 4x = -19 + 0
21 + 4x = -19

Add '-21' to each side of the equation.
21 + -21 + 4x = -19 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = -19 + -21
4x = -19 + -21

Combine like terms: -19 + -21 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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