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

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


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

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

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

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

Combine like terms: 7x + -1x = 6x
-1 + 6x = 2x + 1

Reorder the terms:
-1 + 6x = 1 + 2x

Solving
-1 + 6x = 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.
-1 + 6x + -2x = 1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-1 + 4x = 1 + 2x + -2x

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

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

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

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

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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