0.8(2x+7)=2.7-(x-3)

Solution for 0.8(2x+7)=2.7-(x-3) equation:

Simplifying
0.8(2x + 7) = 2.7 + -1(x + -3)

Reorder the terms:
0.8(7 + 2x) = 2.7 + -1(x + -3)
(7 * 0.8 + 2x * 0.8) = 2.7 + -1(x + -3)
(5.6 + 1.6x) = 2.7 + -1(x + -3)

Reorder the terms:
5.6 + 1.6x = 2.7 + -1(-3 + x)
5.6 + 1.6x = 2.7 + (-3 * -1 + x * -1)
5.6 + 1.6x = 2.7 + (3 + -1x)

Combine like terms: 2.7 + 3 = 5.7
5.6 + 1.6x = 5.7 + -1x

Solving
5.6 + 1.6x = 5.7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5.6 + 1.6x + x = 5.7 + -1x + x

Combine like terms: 1.6x + x = 2.6x
5.6 + 2.6x = 5.7 + -1x + x

Combine like terms: -1x + x = 0
5.6 + 2.6x = 5.7 + 0
5.6 + 2.6x = 5.7

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 2.6x = 5.7 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 2.6x = 5.7 + -5.6
2.6x = 5.7 + -5.6

Combine like terms: 5.7 + -5.6 = 0.1
2.6x = 0.1

Divide each side by '2.6'.
x = 0.03846153846

Simplifying
x = 0.03846153846