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

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


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

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

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

Multiply -1 * 4
3 + (2x) = (5x) + -4x + -1

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

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

Solving
3 + (2x) = -1 + 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.
3 + (2x) + -1x = -1 + 1x + -1x

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

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

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

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

Combine like terms: -1 + -3 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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