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

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


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

Reorder the terms:
2(-9 + 4x) = 5x + -4
(-9 * 2 + 4x * 2) = 5x + -4
(-18 + 8x) = 5x + -4

Reorder the terms:
-18 + 8x = -4 + 5x

Solving
-18 + 8x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 8x + -5x = -4 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-18 + 3x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 3x = -4 + 0
-18 + 3x = -4

Add '18' to each side of the equation.
-18 + 18 + 3x = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = -4 + 18
3x = -4 + 18

Combine like terms: -4 + 18 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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