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 + 9x = -9 + 4 + 15x

Combine like terms: -9 + 4 = -5
-3 + 9x = -5 + 15x

Solving
-3 + 9x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-3 + 9x + -15x = -5 + 15x + -15x

Combine like terms: 9x + -15x = -6x
-3 + -6x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-3 + -6x = -5 + 0
-3 + -6x = -5

Add '3' to each side of the equation.
-3 + 3 + -6x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -5 + 3
-6x = -5 + 3

Combine like terms: -5 + 3 = -2
-6x = -2

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

Simplifying
x = 0.3333333333

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