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

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


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

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

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

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

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

Combine like terms: 3 + 7 = 10
10 + 2x + -5x = 1

Combine like terms: 2x + -5x = -3x
10 + -3x = 1

Solving
10 + -3x = 1

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 1 + -10
-3x = 1 + -10

Combine like terms: 1 + -10 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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