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

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


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

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

Reorder the terms:
-2 + 8x = 3(-5 + 3x)
-2 + 8x = (-5 * 3 + 3x * 3)
-2 + 8x = (-15 + 9x)

Solving
-2 + 8x = -15 + 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.
-2 + 8x + -9x = -15 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-2 + -1x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -1x = -15 + 0
-2 + -1x = -15

Add '2' to each side of the equation.
-2 + 2 + -1x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -15 + 2
-1x = -15 + 2

Combine like terms: -15 + 2 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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