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

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


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

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

Remove parenthesis around (-3 + 3x)
-3 + 3x + 3(2x + 5) = 4x + -3

Reorder the terms:
-3 + 3x + 3(5 + 2x) = 4x + -3
-3 + 3x + (5 * 3 + 2x * 3) = 4x + -3
-3 + 3x + (15 + 6x) = 4x + -3

Reorder the terms:
-3 + 15 + 3x + 6x = 4x + -3

Combine like terms: -3 + 15 = 12
12 + 3x + 6x = 4x + -3

Combine like terms: 3x + 6x = 9x
12 + 9x = 4x + -3

Reorder the terms:
12 + 9x = -3 + 4x

Solving
12 + 9x = -3 + 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.
12 + 9x + -4x = -3 + 4x + -4x

Combine like terms: 9x + -4x = 5x
12 + 5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 5x = -3 + 0
12 + 5x = -3

Add '-12' to each side of the equation.
12 + -12 + 5x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -3 + -12
5x = -3 + -12

Combine like terms: -3 + -12 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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