3(3x-1)-3(5x-3)=4

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Solution for 3(3x-1)-3(5x-3)=4 equation:


Simplifying
3(3x + -1) + -3(5x + -3) = 4

Reorder the terms:
3(-1 + 3x) + -3(5x + -3) = 4
(-1 * 3 + 3x * 3) + -3(5x + -3) = 4
(-3 + 9x) + -3(5x + -3) = 4

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

Reorder the terms:
-3 + 9 + 9x + -15x = 4

Combine like terms: -3 + 9 = 6
6 + 9x + -15x = 4

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

Solving
6 + -6x = 4

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -6x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 4 + -6
-6x = 4 + -6

Combine like terms: 4 + -6 = -2
-6x = -2

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

Simplifying
x = 0.3333333333

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