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

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

Simplifying
0.7(x + -2) + 3(x + 2) = 5(x + -6)

Reorder the terms:
0.7(-2 + x) + 3(x + 2) = 5(x + -6)
(-2 * 0.7 + x * 0.7) + 3(x + 2) = 5(x + -6)
(-1.4 + 0.7x) + 3(x + 2) = 5(x + -6)

Reorder the terms:
-1.4 + 0.7x + 3(2 + x) = 5(x + -6)
-1.4 + 0.7x + (2 * 3 + x * 3) = 5(x + -6)
-1.4 + 0.7x + (6 + 3x) = 5(x + -6)

Reorder the terms:
-1.4 + 6 + 0.7x + 3x = 5(x + -6)

Combine like terms: -1.4 + 6 = 4.6
4.6 + 0.7x + 3x = 5(x + -6)

Combine like terms: 0.7x + 3x = 3.7x
4.6 + 3.7x = 5(x + -6)

Reorder the terms:
4.6 + 3.7x = 5(-6 + x)
4.6 + 3.7x = (-6 * 5 + x * 5)
4.6 + 3.7x = (-30 + 5x)

Solving
4.6 + 3.7x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4.6 + 3.7x + -5x = -30 + 5x + -5x

Combine like terms: 3.7x + -5x = -1.3x
4.6 + -1.3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
4.6 + -1.3x = -30 + 0
4.6 + -1.3x = -30

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -1.3x = -30 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -1.3x = -30 + -4.6
-1.3x = -30 + -4.6

Combine like terms: -30 + -4.6 = -34.6
-1.3x = -34.6

Divide each side by '-1.3'.
x = 26.61538462

Simplifying
x = 26.61538462