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

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


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

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

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

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

Combine like terms: 21 + 3 = 24
24 + 7x + -2x = 7

Combine like terms: 7x + -2x = 5x
24 + 5x = 7

Solving
24 + 5x = 7

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 5x = 7 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 7 + -24
5x = 7 + -24

Combine like terms: 7 + -24 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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