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

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


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

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

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

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

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

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

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

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

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

Solving
3 + 3x = -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.
3 + 3x + -5x = -3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
3 + -2x = -3 + 0
3 + -2x = -3

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

Combine like terms: 3 + -3 = 0
0 + -2x = -3 + -3
-2x = -3 + -3

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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