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

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


Simplifying
7(x + 3) + -1(3x + -2) = 0

Reorder the terms:
7(3 + x) + -1(3x + -2) = 0
(3 * 7 + x * 7) + -1(3x + -2) = 0
(21 + 7x) + -1(3x + -2) = 0

Reorder the terms:
21 + 7x + -1(-2 + 3x) = 0
21 + 7x + (-2 * -1 + 3x * -1) = 0
21 + 7x + (2 + -3x) = 0

Reorder the terms:
21 + 2 + 7x + -3x = 0

Combine like terms: 21 + 2 = 23
23 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x
23 + 4x = 0

Solving
23 + 4x = 0

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 4x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 0 + -23
4x = 0 + -23

Combine like terms: 0 + -23 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75

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