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

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


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

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

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

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

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

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

Reorder the terms:
-5 + 5x = -6 + 3 + 3x

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

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

Solving for variable 'x'.

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

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

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

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

Add '5' to each side of the equation.
-5 + 5 + 2x = -3 + 5

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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