(2x+4)-(x+7)=-x+5

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Solution for (2x+4)-(x+7)=-x+5 equation:


Simplifying
(2x + 4) + -1(x + 7) = -1x + 5

Reorder the terms:
(4 + 2x) + -1(x + 7) = -1x + 5

Remove parenthesis around (4 + 2x)
4 + 2x + -1(x + 7) = -1x + 5

Reorder the terms:
4 + 2x + -1(7 + x) = -1x + 5
4 + 2x + (7 * -1 + x * -1) = -1x + 5
4 + 2x + (-7 + -1x) = -1x + 5

Reorder the terms:
4 + -7 + 2x + -1x = -1x + 5

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

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

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

Solving
-3 + 1x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 1x + x = 5 + -1x + x

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

Combine like terms: -1x + x = 0
-3 + 2x = 5 + 0
-3 + 2x = 5

Add '3' to each side of the equation.
-3 + 3 + 2x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 5 + 3
2x = 5 + 3

Combine like terms: 5 + 3 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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