4(2x-1)-5(x-1)=9

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Solution for 4(2x-1)-5(x-1)=9 equation:


Simplifying
4(2x + -1) + -5(x + -1) = 9

Reorder the terms:
4(-1 + 2x) + -5(x + -1) = 9
(-1 * 4 + 2x * 4) + -5(x + -1) = 9
(-4 + 8x) + -5(x + -1) = 9

Reorder the terms:
-4 + 8x + -5(-1 + x) = 9
-4 + 8x + (-1 * -5 + x * -5) = 9
-4 + 8x + (5 + -5x) = 9

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

Combine like terms: -4 + 5 = 1
1 + 8x + -5x = 9

Combine like terms: 8x + -5x = 3x
1 + 3x = 9

Solving
1 + 3x = 9

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 9 + -1
3x = 9 + -1

Combine like terms: 9 + -1 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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