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

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


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

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

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

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

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

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

Solving
-2 + 5x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = -1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2 + 1x = -1 + 0
-2 + 1x = -1

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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