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

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


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

Reorder the terms:
4(-3 + x) = 3(2x + -1)
(-3 * 4 + x * 4) = 3(2x + -1)
(-12 + 4x) = 3(2x + -1)

Reorder the terms:
-12 + 4x = 3(-1 + 2x)
-12 + 4x = (-1 * 3 + 2x * 3)
-12 + 4x = (-3 + 6x)

Solving
-12 + 4x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 4x + -6x = -3 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-12 + -2x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -2x = -3 + 0
-12 + -2x = -3

Add '12' to each side of the equation.
-12 + 12 + -2x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -3 + 12
-2x = -3 + 12

Combine like terms: -3 + 12 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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