(2x+1)-(3x-5)=(7x+1)-(2x+4)

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Solution for (2x+1)-(3x-5)=(7x+1)-(2x+4) equation:


Simplifying
(2x + 1) + -1(3x + -5) = (7x + 1) + -1(2x + 4)

Reorder the terms:
(1 + 2x) + -1(3x + -5) = (7x + 1) + -1(2x + 4)

Remove parenthesis around (1 + 2x)
1 + 2x + -1(3x + -5) = (7x + 1) + -1(2x + 4)

Reorder the terms:
1 + 2x + -1(-5 + 3x) = (7x + 1) + -1(2x + 4)
1 + 2x + (-5 * -1 + 3x * -1) = (7x + 1) + -1(2x + 4)
1 + 2x + (5 + -3x) = (7x + 1) + -1(2x + 4)

Reorder the terms:
1 + 5 + 2x + -3x = (7x + 1) + -1(2x + 4)

Combine like terms: 1 + 5 = 6
6 + 2x + -3x = (7x + 1) + -1(2x + 4)

Combine like terms: 2x + -3x = -1x
6 + -1x = (7x + 1) + -1(2x + 4)

Reorder the terms:
6 + -1x = (1 + 7x) + -1(2x + 4)

Remove parenthesis around (1 + 7x)
6 + -1x = 1 + 7x + -1(2x + 4)

Reorder the terms:
6 + -1x = 1 + 7x + -1(4 + 2x)
6 + -1x = 1 + 7x + (4 * -1 + 2x * -1)
6 + -1x = 1 + 7x + (-4 + -2x)

Reorder the terms:
6 + -1x = 1 + -4 + 7x + -2x

Combine like terms: 1 + -4 = -3
6 + -1x = -3 + 7x + -2x

Combine like terms: 7x + -2x = 5x
6 + -1x = -3 + 5x

Solving
6 + -1x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -1x + -5x = -3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -6x = -3 + 0
6 + -6x = -3

Add '-6' to each side of the equation.
6 + -6 + -6x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -3 + -6
-6x = -3 + -6

Combine like terms: -3 + -6 = -9
-6x = -9

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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