Simplifying
0.7(x + 4) + 1.7(x + -3) = 0
Reorder the terms:
0.7(4 + x) + 1.7(x + -3) = 0
(4 * 0.7 + x * 0.7) + 1.7(x + -3) = 0
(2.8 + 0.7x) + 1.7(x + -3) = 0
Reorder the terms:
2.8 + 0.7x + 1.7(-3 + x) = 0
2.8 + 0.7x + (-3 * 1.7 + x * 1.7) = 0
2.8 + 0.7x + (-5.1 + 1.7x) = 0
Reorder the terms:
2.8 + -5.1 + 0.7x + 1.7x = 0
Combine like terms: 2.8 + -5.1 = -2.3
-2.3 + 0.7x + 1.7x = 0
Combine like terms: 0.7x + 1.7x = 2.4x
-2.3 + 2.4x = 0
Solving
-2.3 + 2.4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2.3' to each side of the equation.
-2.3 + 2.3 + 2.4x = 0 + 2.3
Combine like terms: -2.3 + 2.3 = 0.0
0.0 + 2.4x = 0 + 2.3
2.4x = 0 + 2.3