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

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


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

Reorder the terms:
2(-4 + 5x) = 3(3x + -1)
(-4 * 2 + 5x * 2) = 3(3x + -1)
(-8 + 10x) = 3(3x + -1)

Reorder the terms:
-8 + 10x = 3(-1 + 3x)
-8 + 10x = (-1 * 3 + 3x * 3)
-8 + 10x = (-3 + 9x)

Solving
-8 + 10x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 10x + -9x = -3 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-8 + 1x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 1x = -3 + 0
-8 + 1x = -3

Add '8' to each side of the equation.
-8 + 8 + 1x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -3 + 8
1x = -3 + 8

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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