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

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


Simplifying
(3x + 2) + -1(2x + -5) = 7

Reorder the terms:
(2 + 3x) + -1(2x + -5) = 7

Remove parenthesis around (2 + 3x)
2 + 3x + -1(2x + -5) = 7

Reorder the terms:
2 + 3x + -1(-5 + 2x) = 7
2 + 3x + (-5 * -1 + 2x * -1) = 7
2 + 3x + (5 + -2x) = 7

Reorder the terms:
2 + 5 + 3x + -2x = 7

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

Combine like terms: 3x + -2x = 1x
7 + 1x = 7

Add '-7' to each side of the equation.
7 + -7 + 1x = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 7 + -7
1x = 7 + -7

Combine like terms: 7 + -7 = 0
1x = 0

Solving
1x = 0

Solving for variable 'x'.

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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