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

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


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

Reorder the terms:
4x + -9 + -2(5 + 3x) = 3(x + 4)
4x + -9 + (5 * -2 + 3x * -2) = 3(x + 4)
4x + -9 + (-10 + -6x) = 3(x + 4)

Reorder the terms:
-9 + -10 + 4x + -6x = 3(x + 4)

Combine like terms: -9 + -10 = -19
-19 + 4x + -6x = 3(x + 4)

Combine like terms: 4x + -6x = -2x
-19 + -2x = 3(x + 4)

Reorder the terms:
-19 + -2x = 3(4 + x)
-19 + -2x = (4 * 3 + x * 3)
-19 + -2x = (12 + 3x)

Solving
-19 + -2x = 12 + 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.
-19 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-19 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + -5x = 12 + 0
-19 + -5x = 12

Add '19' to each side of the equation.
-19 + 19 + -5x = 12 + 19

Combine like terms: -19 + 19 = 0
0 + -5x = 12 + 19
-5x = 12 + 19

Combine like terms: 12 + 19 = 31
-5x = 31

Divide each side by '-5'.
x = -6.2

Simplifying
x = -6.2

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