4(x-5)-3(x-3)=2(x+15)

Solution for 4(x-5)-3(x-3)=2(x+15) equation:

Simplifying
4(x + -5) + -3(x + -3) = 2(x + 15)

Reorder the terms:
4(-5 + x) + -3(x + -3) = 2(x + 15)
(-5 * 4 + x * 4) + -3(x + -3) = 2(x + 15)
(-20 + 4x) + -3(x + -3) = 2(x + 15)

Reorder the terms:
-20 + 4x + -3(-3 + x) = 2(x + 15)
-20 + 4x + (-3 * -3 + x * -3) = 2(x + 15)
-20 + 4x + (9 + -3x) = 2(x + 15)

Reorder the terms:
-20 + 9 + 4x + -3x = 2(x + 15)

Combine like terms: -20 + 9 = -11
-11 + 4x + -3x = 2(x + 15)

Combine like terms: 4x + -3x = 1x
-11 + 1x = 2(x + 15)

Reorder the terms:
-11 + 1x = 2(15 + x)
-11 + 1x = (15 * 2 + x * 2)
-11 + 1x = (30 + 2x)

Solving
-11 + 1x = 30 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 1x + -2x = 30 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-11 + -1x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -1x = 30 + 0
-11 + -1x = 30

Add '11' to each side of the equation.
-11 + 11 + -1x = 30 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 30 + 11
-1x = 30 + 11

Combine like terms: 30 + 11 = 41
-1x = 41

Divide each side by '-1'.
x = -41

Simplifying
x = -41