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

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

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

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

Reorder the terms:
-2 + 6x + 3(4 + x) = 4(3x + -1) + 2(x + -3)
-2 + 6x + (4 * 3 + x * 3) = 4(3x + -1) + 2(x + -3)
-2 + 6x + (12 + 3x) = 4(3x + -1) + 2(x + -3)

Reorder the terms:
-2 + 12 + 6x + 3x = 4(3x + -1) + 2(x + -3)

Combine like terms: -2 + 12 = 10
10 + 6x + 3x = 4(3x + -1) + 2(x + -3)

Combine like terms: 6x + 3x = 9x
10 + 9x = 4(3x + -1) + 2(x + -3)

Reorder the terms:
10 + 9x = 4(-1 + 3x) + 2(x + -3)
10 + 9x = (-1 * 4 + 3x * 4) + 2(x + -3)
10 + 9x = (-4 + 12x) + 2(x + -3)

Reorder the terms:
10 + 9x = -4 + 12x + 2(-3 + x)
10 + 9x = -4 + 12x + (-3 * 2 + x * 2)
10 + 9x = -4 + 12x + (-6 + 2x)

Reorder the terms:
10 + 9x = -4 + -6 + 12x + 2x

Combine like terms: -4 + -6 = -10
10 + 9x = -10 + 12x + 2x

Combine like terms: 12x + 2x = 14x
10 + 9x = -10 + 14x

Solving
10 + 9x = -10 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
10 + 9x + -14x = -10 + 14x + -14x

Combine like terms: 9x + -14x = -5x
10 + -5x = -10 + 14x + -14x

Combine like terms: 14x + -14x = 0
10 + -5x = -10 + 0
10 + -5x = -10

Add '-10' to each side of the equation.
10 + -10 + -5x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -10 + -10
-5x = -10 + -10

Combine like terms: -10 + -10 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4