0.7(3x+6)=1.1(x-3)

Solution for 0.7(3x+6)=1.1(x-3) equation:

Simplifying
0.7(3x + 6) = 1.1(x + -3)

Reorder the terms:
0.7(6 + 3x) = 1.1(x + -3)
(6 * 0.7 + 3x * 0.7) = 1.1(x + -3)
(4.2 + 2.1x) = 1.1(x + -3)

Reorder the terms:
4.2 + 2.1x = 1.1(-3 + x)
4.2 + 2.1x = (-3 * 1.1 + x * 1.1)
4.2 + 2.1x = (-3.3 + 1.1x)

Solving
4.2 + 2.1x = -3.3 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
4.2 + 2.1x + -1.1x = -3.3 + 1.1x + -1.1x

Combine like terms: 2.1x + -1.1x = 1x
4.2 + 1x = -3.3 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
4.2 + 1x = -3.3 + 0.0
4.2 + 1x = -3.3

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 1x = -3.3 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 1x = -3.3 + -4.2
1x = -3.3 + -4.2

Combine like terms: -3.3 + -4.2 = -7.5
1x = -7.5

Divide each side by '1'.
x = -7.5

Simplifying
x = -7.5