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

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

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

Reorder the terms:
4(6 + x) + 2(x + -10) = 3(x + 10)
(6 * 4 + x * 4) + 2(x + -10) = 3(x + 10)
(24 + 4x) + 2(x + -10) = 3(x + 10)

Reorder the terms:
24 + 4x + 2(-10 + x) = 3(x + 10)
24 + 4x + (-10 * 2 + x * 2) = 3(x + 10)
24 + 4x + (-20 + 2x) = 3(x + 10)

Reorder the terms:
24 + -20 + 4x + 2x = 3(x + 10)

Combine like terms: 24 + -20 = 4
4 + 4x + 2x = 3(x + 10)

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

Reorder the terms:
4 + 6x = 3(10 + x)
4 + 6x = (10 * 3 + x * 3)
4 + 6x = (30 + 3x)

Solving
4 + 6x = 30 + 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.
4 + 6x + -3x = 30 + 3x + -3x

Combine like terms: 6x + -3x = 3x
4 + 3x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 3x = 30 + 0
4 + 3x = 30

Add '-4' to each side of the equation.
4 + -4 + 3x = 30 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 30 + -4
3x = 30 + -4

Combine like terms: 30 + -4 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667