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

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


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

Reorder the terms:
5x + -3(-2 + x) = 3 + 4x + -1
5x + (-2 * -3 + x * -3) = 3 + 4x + -1
5x + (6 + -3x) = 3 + 4x + -1

Reorder the terms:
6 + 5x + -3x = 3 + 4x + -1

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

Reorder the terms:
6 + 2x = 3 + -1 + 4x

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

Solving
6 + 2x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 2x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + -2x = 2 + 0
6 + -2x = 2

Add '-6' to each side of the equation.
6 + -6 + -2x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 2 + -6
-2x = 2 + -6

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

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

Simplifying
x = 2

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