(3x-3)+2(2x+7)=5x-3

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Solution for (3x-3)+2(2x+7)=5x-3 equation:


Simplifying
(3x + -3) + 2(2x + 7) = 5x + -3

Reorder the terms:
(-3 + 3x) + 2(2x + 7) = 5x + -3

Remove parenthesis around (-3 + 3x)
-3 + 3x + 2(2x + 7) = 5x + -3

Reorder the terms:
-3 + 3x + 2(7 + 2x) = 5x + -3
-3 + 3x + (7 * 2 + 2x * 2) = 5x + -3
-3 + 3x + (14 + 4x) = 5x + -3

Reorder the terms:
-3 + 14 + 3x + 4x = 5x + -3

Combine like terms: -3 + 14 = 11
11 + 3x + 4x = 5x + -3

Combine like terms: 3x + 4x = 7x
11 + 7x = 5x + -3

Reorder the terms:
11 + 7x = -3 + 5x

Solving
11 + 7x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + 7x + -5x = -3 + 5x + -5x

Combine like terms: 7x + -5x = 2x
11 + 2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + 2x = -3 + 0
11 + 2x = -3

Add '-11' to each side of the equation.
11 + -11 + 2x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -3 + -11
2x = -3 + -11

Combine like terms: -3 + -11 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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