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

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Solution for (3x+2)-(5x-7)=1 equation:


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

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

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

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

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

Combine like terms: 2 + 7 = 9
9 + 3x + -5x = 1

Combine like terms: 3x + -5x = -2x
9 + -2x = 1

Solving
9 + -2x = 1

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 1 + -9
-2x = 1 + -9

Combine like terms: 1 + -9 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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