Let's simplify the given equation step by step:
(7x - 2.1) - (0.5 - 2x) = 0.9(3x - 1) + 0.1
First, simplify the expressions inside the parentheses:
7x - 2.1 - 0.5 + 2x = 2.7x - 0.9 + 0.1
Now, combine like terms on both sides of the equation:
9x - 2.6 = 2.7x - 0.8
Next, move all the x terms to one side of the equation and the constants to the other side:
9x - 2.7x = -0.8 + 2.6
6.3x = 1.8
Now, isolate x by dividing both sides by 6.3:
x = 1.8 / 6.3x ≈ 0.2857
Therefore, the solution to the equation is x ≈ 0.2857.
Let's simplify the given equation step by step:
(7x - 2.1) - (0.5 - 2x) = 0.9(3x - 1) + 0.1
First, simplify the expressions inside the parentheses:
7x - 2.1 - 0.5 + 2x = 2.7x - 0.9 + 0.1
Now, combine like terms on both sides of the equation:
9x - 2.6 = 2.7x - 0.8
Next, move all the x terms to one side of the equation and the constants to the other side:
9x - 2.7x = -0.8 + 2.6
6.3x = 1.8
Now, isolate x by dividing both sides by 6.3:
x = 1.8 / 6.3
x ≈ 0.2857
Therefore, the solution to the equation is x ≈ 0.2857.