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

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

Simplifying
10(x + -5) + -5(x + -5) = 4(x + -5) + 5

Reorder the terms:
10(-5 + x) + -5(x + -5) = 4(x + -5) + 5
(-5 * 10 + x * 10) + -5(x + -5) = 4(x + -5) + 5
(-50 + 10x) + -5(x + -5) = 4(x + -5) + 5

Reorder the terms:
-50 + 10x + -5(-5 + x) = 4(x + -5) + 5
-50 + 10x + (-5 * -5 + x * -5) = 4(x + -5) + 5
-50 + 10x + (25 + -5x) = 4(x + -5) + 5

Reorder the terms:
-50 + 25 + 10x + -5x = 4(x + -5) + 5

Combine like terms: -50 + 25 = -25
-25 + 10x + -5x = 4(x + -5) + 5

Combine like terms: 10x + -5x = 5x
-25 + 5x = 4(x + -5) + 5

Reorder the terms:
-25 + 5x = 4(-5 + x) + 5
-25 + 5x = (-5 * 4 + x * 4) + 5
-25 + 5x = (-20 + 4x) + 5

Reorder the terms:
-25 + 5x = -20 + 5 + 4x

Combine like terms: -20 + 5 = -15
-25 + 5x = -15 + 4x

Solving
-25 + 5x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-25 + 5x + -4x = -15 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-25 + 1x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + 1x = -15 + 0
-25 + 1x = -15

Add '25' to each side of the equation.
-25 + 25 + 1x = -15 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = -15 + 25
1x = -15 + 25

Combine like terms: -15 + 25 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10