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

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


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

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

Reorder the terms:
4 + 6x + -3(-5 + 3x) = 4
4 + 6x + (-5 * -3 + 3x * -3) = 4
4 + 6x + (15 + -9x) = 4

Reorder the terms:
4 + 15 + 6x + -9x = 4

Combine like terms: 4 + 15 = 19
19 + 6x + -9x = 4

Combine like terms: 6x + -9x = -3x
19 + -3x = 4

Solving
19 + -3x = 4

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -3x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 4 + -19
-3x = 4 + -19

Combine like terms: 4 + -19 = -15
-3x = -15

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

Simplifying
x = 5

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