4(3x-2)+2(3x+3)=3x+28

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Solution for 4(3x-2)+2(3x+3)=3x+28 equation:


Simplifying
4(3x + -2) + 2(3x + 3) = 3x + 28

Reorder the terms:
4(-2 + 3x) + 2(3x + 3) = 3x + 28
(-2 * 4 + 3x * 4) + 2(3x + 3) = 3x + 28
(-8 + 12x) + 2(3x + 3) = 3x + 28

Reorder the terms:
-8 + 12x + 2(3 + 3x) = 3x + 28
-8 + 12x + (3 * 2 + 3x * 2) = 3x + 28
-8 + 12x + (6 + 6x) = 3x + 28

Reorder the terms:
-8 + 6 + 12x + 6x = 3x + 28

Combine like terms: -8 + 6 = -2
-2 + 12x + 6x = 3x + 28

Combine like terms: 12x + 6x = 18x
-2 + 18x = 3x + 28

Reorder the terms:
-2 + 18x = 28 + 3x

Solving
-2 + 18x = 28 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 18x + -3x = 28 + 3x + -3x

Combine like terms: 18x + -3x = 15x
-2 + 15x = 28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 15x = 28 + 0
-2 + 15x = 28

Add '2' to each side of the equation.
-2 + 2 + 15x = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 28 + 2
15x = 28 + 2

Combine like terms: 28 + 2 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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