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

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


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

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

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

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

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

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

Solving
7 + 1x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 1x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
7 + -1x = 3 + 0
7 + -1x = 3

Add '-7' to each side of the equation.
7 + -7 + -1x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 3 + -7
-1x = 3 + -7

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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