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

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


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

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

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

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

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

Solving
-5 + 5x = 5 + 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 = 5 + 4x + -4x

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

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

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

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

Combine like terms: 5 + 5 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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