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

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


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

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

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

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

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

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

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

Solving
7 + 1x = 1

Solving for variable 'x'.

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

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

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

Combine like terms: 1 + -7 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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