5(x-3)+4(x+3)=3(x-1)

Solution for 5(x-3)+4(x+3)=3(x-1) equation:

Simplifying
5(x + -3) + 4(x + 3) = 3(x + -1)

Reorder the terms:
5(-3 + x) + 4(x + 3) = 3(x + -1)
(-3 * 5 + x * 5) + 4(x + 3) = 3(x + -1)
(-15 + 5x) + 4(x + 3) = 3(x + -1)

Reorder the terms:
-15 + 5x + 4(3 + x) = 3(x + -1)
-15 + 5x + (3 * 4 + x * 4) = 3(x + -1)
-15 + 5x + (12 + 4x) = 3(x + -1)

Reorder the terms:
-15 + 12 + 5x + 4x = 3(x + -1)

Combine like terms: -15 + 12 = -3
-3 + 5x + 4x = 3(x + -1)

Combine like terms: 5x + 4x = 9x
-3 + 9x = 3(x + -1)

Reorder the terms:
-3 + 9x = 3(-1 + x)
-3 + 9x = (-1 * 3 + x * 3)
-3 + 9x = (-3 + 3x)

Add '3' to each side of the equation.
-3 + 3 + 9x = -3 + 3 + 3x

Combine like terms: -3 + 3 = 0
0 + 9x = -3 + 3 + 3x
9x = -3 + 3 + 3x

Combine like terms: -3 + 3 = 0
9x = 0 + 3x
9x = 3x

Solving
9x = 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.
9x + -3x = 3x + -3x

Combine like terms: 9x + -3x = 6x
6x = 3x + -3x

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

Divide each side by '6'.
x = 0

Simplifying
x = 0