how do you solve 10(-2x+1)=19(x+1)
To solve the equation 10(-2x + 1) = 19(x + 1), follow these steps:
Step 1: Distribute the multiplication on both sides of the equation to eliminate parentheses.
10 * -2x + 10 * 1 = 19 * x + 19 * 1
-20x + 10 = 19x + 19
Step 2: Combine like terms by bringing the variables (x terms) to one side and constants (number terms) to the other side.
-20x - 19x = 19 - 10
-39x = 9
Step 3: Solve for x by isolating the variable.
Divide both sides of the equation by -39 to solve for x.
x = 9 / -39
Step 4: Simplify the result.
The solution can also be expressed as a decimal value x ≈ -0.231.
Therefore, the solution to the equation 10(-2x + 1) = 19(x + 1) is x ≈ -0.231.