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

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

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

Reorder the terms:
3(-2 + x) = 4(2x + -5)
(-2 * 3 + x * 3) = 4(2x + -5)
(-6 + 3x) = 4(2x + -5)

Reorder the terms:
-6 + 3x = 4(-5 + 2x)
-6 + 3x = (-5 * 4 + 2x * 4)
-6 + 3x = (-20 + 8x)

Solving
-6 + 3x = -20 + 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.
-6 + 3x + -8x = -20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-6 + -5x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -5x = -20 + 0
-6 + -5x = -20

Add '6' to each side of the equation.
-6 + 6 + -5x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = -20 + 6
-5x = -20 + 6

Combine like terms: -20 + 6 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8