0.9(6x+4)=-0.7(x-3)

Solution for 0.9(6x+4)=-0.7(x-3) equation:

Simplifying
0.9(6x + 4) = -0.7(x + -3)

Reorder the terms:
0.9(4 + 6x) = -0.7(x + -3)
(4 * 0.9 + 6x * 0.9) = -0.7(x + -3)
(3.6 + 5.4x) = -0.7(x + -3)

Reorder the terms:
3.6 + 5.4x = -0.7(-3 + x)
3.6 + 5.4x = (-3 * -0.7 + x * -0.7)
3.6 + 5.4x = (2.1 + -0.7x)

Solving
3.6 + 5.4x = 2.1 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
3.6 + 5.4x + 0.7x = 2.1 + -0.7x + 0.7x

Combine like terms: 5.4x + 0.7x = 6.1x
3.6 + 6.1x = 2.1 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
3.6 + 6.1x = 2.1 + 0.0
3.6 + 6.1x = 2.1

Add '-3.6' to each side of the equation.
3.6 + -3.6 + 6.1x = 2.1 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 6.1x = 2.1 + -3.6
6.1x = 2.1 + -3.6

Combine like terms: 2.1 + -3.6 = -1.5
6.1x = -1.5

Divide each side by '6.1'.
x = -0.2459016393

Simplifying
x = -0.2459016393