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

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


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

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

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

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

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

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

Solving
-7 + -1x = -1 + 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 = -1 + 2x + -2x

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

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

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

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

Combine like terms: -1 + 7 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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