What is x when 6(x+4)+4(x+5)=74
Get rid of parentheses.
6x + 24 + 4x + 20 = 74
Combine like terms.
10x + 44 = 74
Subtract 44 from both sides, then divide both sides by 10.
To solve the equation 6(x+4) + 4(x+5) = 74, follow these steps:
Step 1: Distribute the numbers outside the parentheses.
6(x+4) + 4(x+5) = 74
6x + 24 + 4x + 20 = 74
Step 2: Combine like terms.
Combine the coefficients of x and the constants on both sides of the equation:
6x + 4x + 24 + 20 = 74
10x + 44 = 74
Step 3: Isolate the variable term.
To isolate the variable term, subtract 44 from both sides of the equation:
10x + 44 - 44 = 74 - 44
10x = 30
Step 4: Solve for x.
To solve for x, divide both sides of the equation by 10:
10x/10 = 30/10
x = 3
Therefore, x is equal to 3.