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

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


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

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

Reorder the terms:
-12 + 3x = 4(-1 + 2x)
-12 + 3x = (-1 * 4 + 2x * 4)
-12 + 3x = (-4 + 8x)

Solving
-12 + 3x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 3x + -8x = -4 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-12 + -5x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -5x = -4 + 0
-12 + -5x = -4

Add '12' to each side of the equation.
-12 + 12 + -5x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = -4 + 12
-5x = -4 + 12

Combine like terms: -4 + 12 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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