0.7(8x+7)=2.0-(x-3)

Solution for 0.7(8x+7)=2.0-(x-3) equation:

Simplifying
0.7(8x + 7) = 2.0 + -1(x + -3)

Reorder the terms:
0.7(7 + 8x) = 2.0 + -1(x + -3)
(7 * 0.7 + 8x * 0.7) = 2.0 + -1(x + -3)
(4.9 + 5.6x) = 2.0 + -1(x + -3)

Reorder the terms:
4.9 + 5.6x = 2.0 + -1(-3 + x)
4.9 + 5.6x = 2.0 + (-3 * -1 + x * -1)
4.9 + 5.6x = 2.0 + (3 + -1x)

Combine like terms: 2.0 + 3 = 5
4.9 + 5.6x = 5 + -1x

Solving
4.9 + 5.6x = 5 + -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.
4.9 + 5.6x + x = 5 + -1x + x

Combine like terms: 5.6x + x = 6.6x
4.9 + 6.6x = 5 + -1x + x

Combine like terms: -1x + x = 0
4.9 + 6.6x = 5 + 0
4.9 + 6.6x = 5

Add '-4.9' to each side of the equation.
4.9 + -4.9 + 6.6x = 5 + -4.9

Combine like terms: 4.9 + -4.9 = 0.0
0.0 + 6.6x = 5 + -4.9
6.6x = 5 + -4.9

Combine like terms: 5 + -4.9 = 0.1
6.6x = 0.1

Divide each side by '6.6'.
x = 0.01515151515

Simplifying
x = 0.01515151515