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

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


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

Reorder the terms:
2(2 + x) + -1(x + -3) = 5
(2 * 2 + x * 2) + -1(x + -3) = 5
(4 + 2x) + -1(x + -3) = 5

Reorder the terms:
4 + 2x + -1(-3 + x) = 5
4 + 2x + (-3 * -1 + x * -1) = 5
4 + 2x + (3 + -1x) = 5

Reorder the terms:
4 + 3 + 2x + -1x = 5

Combine like terms: 4 + 3 = 7
7 + 2x + -1x = 5

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

Solving
7 + 1x = 5

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 = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 5 + -7
1x = 5 + -7

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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