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

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


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

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

Combine like terms: 4x + 2x = 6x
-9 + 6x = 3(4x + -5) + 4

Reorder the terms:
-9 + 6x = 3(-5 + 4x) + 4
-9 + 6x = (-5 * 3 + 4x * 3) + 4
-9 + 6x = (-15 + 12x) + 4

Reorder the terms:
-9 + 6x = -15 + 4 + 12x

Combine like terms: -15 + 4 = -11
-9 + 6x = -11 + 12x

Solving
-9 + 6x = -11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + 6x + -12x = -11 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-9 + -6x = -11 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + -6x = -11 + 0
-9 + -6x = -11

Add '9' to each side of the equation.
-9 + 9 + -6x = -11 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = -11 + 9
-6x = -11 + 9

Combine like terms: -11 + 9 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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