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

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


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

Reorder the terms:
3(2 + 3x) = 4(x + -2) + -5
(2 * 3 + 3x * 3) = 4(x + -2) + -5
(6 + 9x) = 4(x + -2) + -5

Reorder the terms:
6 + 9x = 4(-2 + x) + -5
6 + 9x = (-2 * 4 + x * 4) + -5
6 + 9x = (-8 + 4x) + -5

Reorder the terms:
6 + 9x = -8 + -5 + 4x

Combine like terms: -8 + -5 = -13
6 + 9x = -13 + 4x

Solving
6 + 9x = -13 + 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.
6 + 9x + -4x = -13 + 4x + -4x

Combine like terms: 9x + -4x = 5x
6 + 5x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 5x = -13 + 0
6 + 5x = -13

Add '-6' to each side of the equation.
6 + -6 + 5x = -13 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -13 + -6
5x = -13 + -6

Combine like terms: -13 + -6 = -19
5x = -19

Divide each side by '5'.
x = -3.8

Simplifying
x = -3.8

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