5(3x-1)-4(3x-2)=0

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Solution for 5(3x-1)-4(3x-2)=0 equation:


Simplifying
5(3x + -1) + -4(3x + -2) = 0

Reorder the terms:
5(-1 + 3x) + -4(3x + -2) = 0
(-1 * 5 + 3x * 5) + -4(3x + -2) = 0
(-5 + 15x) + -4(3x + -2) = 0

Reorder the terms:
-5 + 15x + -4(-2 + 3x) = 0
-5 + 15x + (-2 * -4 + 3x * -4) = 0
-5 + 15x + (8 + -12x) = 0

Reorder the terms:
-5 + 8 + 15x + -12x = 0

Combine like terms: -5 + 8 = 3
3 + 15x + -12x = 0

Combine like terms: 15x + -12x = 3x
3 + 3x = 0

Solving
3 + 3x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 3x = 0 + -3

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

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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