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

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


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

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

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

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

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

Solving
-5 + 5x = 1 + 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.
-5 + 5x + -4x = 1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-5 + 1x = 1 + 0
-5 + 1x = 1

Add '5' to each side of the equation.
-5 + 5 + 1x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 1 + 5
1x = 1 + 5

Combine like terms: 1 + 5 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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