7x-(2-x)=3x+1

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Solution for 7x-(2-x)=3x+1 equation:


Simplifying
7x + -1(2 + -1x) = 3x + 1
7x + (2 * -1 + -1x * -1) = 3x + 1
7x + (-2 + 1x) = 3x + 1

Reorder the terms:
-2 + 7x + 1x = 3x + 1

Combine like terms: 7x + 1x = 8x
-2 + 8x = 3x + 1

Reorder the terms:
-2 + 8x = 1 + 3x

Solving
-2 + 8x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 8x + -3x = 1 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-2 + 5x = 1 + 3x + -3x

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

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

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

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

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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