0.7(4x+8)=1.8(x+2)

Solution for 0.7(4x+8)=1.8(x+2) equation:

Simplifying
0.7(4x + 8) = 1.8(x + 2)

Reorder the terms:
0.7(8 + 4x) = 1.8(x + 2)
(8 * 0.7 + 4x * 0.7) = 1.8(x + 2)
(5.6 + 2.8x) = 1.8(x + 2)

Reorder the terms:
5.6 + 2.8x = 1.8(2 + x)
5.6 + 2.8x = (2 * 1.8 + x * 1.8)
5.6 + 2.8x = (3.6 + 1.8x)

Solving
5.6 + 2.8x = 3.6 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
5.6 + 2.8x + -1.8x = 3.6 + 1.8x + -1.8x

Combine like terms: 2.8x + -1.8x = 1x
5.6 + 1x = 3.6 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
5.6 + 1x = 3.6 + 0.0
5.6 + 1x = 3.6

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 1x = 3.6 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 1x = 3.6 + -5.6
1x = 3.6 + -5.6

Combine like terms: 3.6 + -5.6 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2