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

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


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

Reorder the terms:
3(-3 + x) = 5(2x + -1)
(-3 * 3 + x * 3) = 5(2x + -1)
(-9 + 3x) = 5(2x + -1)

Reorder the terms:
-9 + 3x = 5(-1 + 2x)
-9 + 3x = (-1 * 5 + 2x * 5)
-9 + 3x = (-5 + 10x)

Solving
-9 + 3x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-9 + 3x + -10x = -5 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-9 + -7x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + -7x = -5 + 0
-9 + -7x = -5

Add '9' to each side of the equation.
-9 + 9 + -7x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = -5 + 9
-7x = -5 + 9

Combine like terms: -5 + 9 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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