Explanation:
Let's solve the equation step by step:
1. Distribute the terms on both sides of the equation:
4(x) - 4(1) + 11.1 = 0.7(x) - 0.7(4)
Simplifying further, we have:
4x - 4 + 11.1 = 0.7x - 2.8
2. Combine like terms:
4x + 7.1 = 0.7x - 2.8
3. To isolate the variable terms, let's subtract 0.7x from both sides:
4x - 0.7x + 7.1 = 0.7x - 0.7x - 2.8
Simplifying:
3.3x + 7.1 = -2.8
4. Now, let's isolate the x term by subtracting 7.1 from both sides:
3.3x + 7.1 - 7.1 = -2.8 - 7.1
Simplifying this equation:
3.3x = -9.9
5. Finally, to solve for x, divide both sides of the equation by 3.3:
(3.3x)/3.3 = (-9.9)/3.3
Simplifying:
x = -3
Therefore, the solution to the equation 4(x-1) + 11.1 = 0.7(x-4) is x = -3.