Answer: 1
Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3
Reorder the terms:
4x + 3(7 + 4x) = 4(7x + 3) + -3
4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3
4x + (21 + 12x) = 4(7x + 3) + -3
Reorder the terms:
21 + 4x + 12x = 4(7x + 3) + -3
Combine like terms: 4x + 12x = 16x
21 + 16x = 4(7x + 3) + -3
Reorder the terms:
21 + 16x = 4(3 + 7x) + -3
21 + 16x = (3 * 4 + 7x * 4) + -3
21 + 16x = (12 + 28x) + -3
Reorder the terms:
21 + 16x = 12 + -3 + 28x
Combine like terms: 12 + -3 = 9
21 + 16x = 9 + 28x
Solving
21 + 16x = 9 + 28x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-28x' to each side of the equation.
21 + 16x + -28x = 9 + 28x + -28x
Combine like terms: 16x + -28x = -12x
21 + -12x = 9 + 28x + -28x
Combine like terms: 28x + -28x = 0
21 + -12x = 9 + 0
21 + -12x = 9
Add '-21' to each side of the equation.
21 + -21 + -12x = 9 + -21
Combine like terms: 21 + -21 = 0
0 + -12x = 9 + -21
-12x = 9 + -21
Combine like terms: 9 + -21 = -12
-12x = -12
Divide each side by -12.
x = 1
Simplifying
x = 1
