6(x-1)+4(x+3)=3(2x+5)

Solution for 6(x-1)+4(x+3)=3(2x+5) equation:

Simplifying
6(x + -1) + 4(x + 3) = 3(2x + 5)

Reorder the terms:
6(-1 + x) + 4(x + 3) = 3(2x + 5)
(-1 * 6 + x * 6) + 4(x + 3) = 3(2x + 5)
(-6 + 6x) + 4(x + 3) = 3(2x + 5)

Reorder the terms:
-6 + 6x + 4(3 + x) = 3(2x + 5)
-6 + 6x + (3 * 4 + x * 4) = 3(2x + 5)
-6 + 6x + (12 + 4x) = 3(2x + 5)

Reorder the terms:
-6 + 12 + 6x + 4x = 3(2x + 5)

Combine like terms: -6 + 12 = 6
6 + 6x + 4x = 3(2x + 5)

Combine like terms: 6x + 4x = 10x
6 + 10x = 3(2x + 5)

Reorder the terms:
6 + 10x = 3(5 + 2x)
6 + 10x = (5 * 3 + 2x * 3)
6 + 10x = (15 + 6x)

Solving
6 + 10x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 10x + -6x = 15 + 6x + -6x

Combine like terms: 10x + -6x = 4x
6 + 4x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + 4x = 15 + 0
6 + 4x = 15

Add '-6' to each side of the equation.
6 + -6 + 4x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 15 + -6
4x = 15 + -6

Combine like terms: 15 + -6 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25