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

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

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

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

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

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

Combine like terms: 10 + 24 = 34
-6 + 3x = 34 + -4x

Solving
-6 + 3x = 34 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 3x + 4x = 34 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-6 + 7x = 34 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 7x = 34 + 0
-6 + 7x = 34

Add '6' to each side of the equation.
-6 + 6 + 7x = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 34 + 6
7x = 34 + 6

Combine like terms: 34 + 6 = 40
7x = 40

Divide each side by '7'.
x = 5.714285714

Simplifying
x = 5.714285714