6+3(x-4)=5-7(x-2)

Solution for 6+3(x-4)=5-7(x-2) equation:

Simplifying
6 + 3(x + -4) = 5 + -7(x + -2)

Reorder the terms:
6 + 3(-4 + x) = 5 + -7(x + -2)
6 + (-4 * 3 + x * 3) = 5 + -7(x + -2)
6 + (-12 + 3x) = 5 + -7(x + -2)

Combine like terms: 6 + -12 = -6
-6 + 3x = 5 + -7(x + -2)

Reorder the terms:
-6 + 3x = 5 + -7(-2 + x)
-6 + 3x = 5 + (-2 * -7 + x * -7)
-6 + 3x = 5 + (14 + -7x)

Combine like terms: 5 + 14 = 19
-6 + 3x = 19 + -7x

Solving
-6 + 3x = 19 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 3x + 7x = 19 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-6 + 10x = 19 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 10x = 19 + 0
-6 + 10x = 19

Add '6' to each side of the equation.
-6 + 6 + 10x = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 19 + 6
10x = 19 + 6

Combine like terms: 19 + 6 = 25
10x = 25

Divide each side by '10'.
x = 2.5

Simplifying
x = 2.5