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

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


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

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

Reorder the terms:
-4 + 8x = 3(-2 + x)
-4 + 8x = (-2 * 3 + x * 3)
-4 + 8x = (-6 + 3x)

Solving
-4 + 8x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 8x + -3x = -6 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-4 + 5x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 5x = -6 + 0
-4 + 5x = -6

Add '4' to each side of the equation.
-4 + 4 + 5x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -6 + 4
5x = -6 + 4

Combine like terms: -6 + 4 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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