(5x+2)-(2x+1)=(6x)-(5x-2)

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Solution for (5x+2)-(2x+1)=(6x)-(5x-2) equation:


Simplifying
(5x + 2) + -1(2x + 1) = (6x) + -1(5x + -2)

Reorder the terms:
(2 + 5x) + -1(2x + 1) = (6x) + -1(5x + -2)

Remove parenthesis around (2 + 5x)
2 + 5x + -1(2x + 1) = (6x) + -1(5x + -2)

Reorder the terms:
2 + 5x + -1(1 + 2x) = (6x) + -1(5x + -2)
2 + 5x + (1 * -1 + 2x * -1) = (6x) + -1(5x + -2)
2 + 5x + (-1 + -2x) = (6x) + -1(5x + -2)

Reorder the terms:
2 + -1 + 5x + -2x = (6x) + -1(5x + -2)

Combine like terms: 2 + -1 = 1
1 + 5x + -2x = (6x) + -1(5x + -2)

Combine like terms: 5x + -2x = 3x
1 + 3x = (6x) + -1(5x + -2)

Reorder the terms:
1 + 3x = (6x) + -1(-2 + 5x)
1 + 3x = (6x) + (-2 * -1 + 5x * -1)
1 + 3x = (6x) + (2 + -5x)

Reorder the terms:
1 + 3x = 2 + (6x) + -5x

Combine like terms: (6x) + -5x = 1x
1 + 3x = 2 + 1x

Solving
1 + 3x = 2 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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