-2(x+6)+3(2x-5)=3(x-4)+10

Solution for -2(x+6)+3(2x-5)=3(x-4)+10 equation:

Simplifying
-2(x + 6) + 3(2x + -5) = 3(x + -4) + 10

Reorder the terms:
-2(6 + x) + 3(2x + -5) = 3(x + -4) + 10
(6 * -2 + x * -2) + 3(2x + -5) = 3(x + -4) + 10
(-12 + -2x) + 3(2x + -5) = 3(x + -4) + 10

Reorder the terms:
-12 + -2x + 3(-5 + 2x) = 3(x + -4) + 10
-12 + -2x + (-5 * 3 + 2x * 3) = 3(x + -4) + 10
-12 + -2x + (-15 + 6x) = 3(x + -4) + 10

Reorder the terms:
-12 + -15 + -2x + 6x = 3(x + -4) + 10

Combine like terms: -12 + -15 = -27
-27 + -2x + 6x = 3(x + -4) + 10

Combine like terms: -2x + 6x = 4x
-27 + 4x = 3(x + -4) + 10

Reorder the terms:
-27 + 4x = 3(-4 + x) + 10
-27 + 4x = (-4 * 3 + x * 3) + 10
-27 + 4x = (-12 + 3x) + 10

Reorder the terms:
-27 + 4x = -12 + 10 + 3x

Combine like terms: -12 + 10 = -2
-27 + 4x = -2 + 3x

Solving
-27 + 4x = -2 + 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.
-27 + 4x + -3x = -2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-27 + 1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + 1x = -2 + 0
-27 + 1x = -2

Add '27' to each side of the equation.
-27 + 27 + 1x = -2 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -2 + 27
1x = -2 + 27

Combine like terms: -2 + 27 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25