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

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

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

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

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

Solving
-20 + 4x = -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.
-20 + 4x + -3x = -6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-20 + 1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 1x = -6 + 0
-20 + 1x = -6

Add '20' to each side of the equation.
-20 + 20 + 1x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -6 + 20
1x = -6 + 20

Combine like terms: -6 + 20 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14