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

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


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

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

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

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

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

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

Solving
-2 + 3x = 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.
-2 + 3x + 4x = 2 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x = 2 + 0
-2 + 7x = 2

Add '2' to each side of the equation.
-2 + 2 + 7x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 2 + 2
7x = 2 + 2

Combine like terms: 2 + 2 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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