4(5-x)=3(10-x)

Solution for 4(5-x)=3(10-x) equation:

Simplifying
4(5 + -1x) = 3(10 + -1x)
(5 * 4 + -1x * 4) = 3(10 + -1x)
(20 + -4x) = 3(10 + -1x)
20 + -4x = (10 * 3 + -1x * 3)
20 + -4x = (30 + -3x)

Solving
20 + -4x = 30 + -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 = 30 + -3x + 3x

Combine like terms: -4x + 3x = -1x
20 + -1x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -1x = 30 + 0
20 + -1x = 30

Add '-20' to each side of the equation.
20 + -20 + -1x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 30 + -20
-1x = 30 + -20

Combine like terms: 30 + -20 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10