3(x-6)+9=4(2x+3)-5

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Solution for 3(x-6)+9=4(2x+3)-5 equation: 


Simplifying
3(x + -6) + 9 = 4(2x + 3) + -5

Reorder the terms:
3(-6 + x) + 9 = 4(2x + 3) + -5
(-6 * 3 + x * 3) + 9 = 4(2x + 3) + -5
(-18 + 3x) + 9 = 4(2x + 3) + -5

Reorder the terms:
-18 + 9 + 3x = 4(2x + 3) + -5

Combine like terms: -18 + 9 = -9
-9 + 3x = 4(2x + 3) + -5

Reorder the terms:
-9 + 3x = 4(3 + 2x) + -5
-9 + 3x = (3 * 4 + 2x * 4) + -5
-9 + 3x = (12 + 8x) + -5

Reorder the terms:
-9 + 3x = 12 + -5 + 8x

Combine like terms: 12 + -5 = 7
-9 + 3x = 7 + 8x

Solving
-9 + 3x = 7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-9 + 3x + -8x = 7 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-9 + -5x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -5x = 7 + 0
-9 + -5x = 7

Add '9' to each side of the equation.
-9 + 9 + -5x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 7 + 9
-5x = 7 + 9

Combine like terms: 7 + 9 = 16
-5x = 16

Divide each side by '-5'.
x = -3.2

Simplifying
x = -3.2

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