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

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


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

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

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

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

Reorder the terms:
2 + 4 + 5x + -2x = 3

Combine like terms: 2 + 4 = 6
6 + 5x + -2x = 3

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

Solving
6 + 3x = 3

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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