4.04 Equations with variables both sides
Explain what should be done to solve the equation 9 x = 7 + 8 x.
Solve:
7 x + 6 = 3 x + 22
6 x - 3 = 4 x + 7
5 x - 3 = - 4 x + 33
4 x - 9 = 5 x - 6
7 x = x + 30
3 x = x - 18
8 x = 6 x + 10
7 x = 3 x - 12
3 x = - 8 x - 44
10 x +8= - 8 x - 2
5x + 7= 3 x + 11
11x + 15= 6 x + 35
6x - 5= 3 x + 22
-4x +10= 2 x + 8
16+4x = 12 x
18-2x = 9 + x
24-6x = 14 + 4x
30-10x = 22 - 8x
Solve:
Solve:
5 \left( 2 x + 5\right) =2x + 13
6 \left( 3 x + 1\right) =4x + 20
4 \left( 3 x - 2\right) =6x + 16
2 \left(8 - 3 x\right) =10x - 20
3 x + 4 = 5 \left( 6 x + 5\right) + 60
3 x + 4 = 6 \left( 5 x - 5\right) + 88
4 x - 6 = - 8 \left( 6 x - 7\right) + 42
8 \left( 8 x + 5\right) = 3 \left( 6 x + 8\right) + 108
5 \left( 4 x - 3\right) = 3 \left( - 4 x + 4\right) + 101
- 5 \left( - 5 x + 5\right) = 7 \left( 4 x - 8\right) + 37
Solve:
Solve:
\dfrac{4 x - 40}{8} = 3 x
\dfrac{4 x + 84}{8} = - 3 x
\dfrac{- 6 x + 54}{4} = 3 x
\dfrac{3 x + 6}{7} = x + 2
\dfrac{- 7 x + 7}{3} = 6 x + 19
\dfrac{5 x - 6}{7} = - 5 x + 22
\dfrac{4 x + 6}{6} = \dfrac{3 x + 12}{7}
\dfrac{5 x - 4}{3} = \dfrac{3 x + 4}{5}
\dfrac{4 x + 8}{8} = \dfrac{- 3 x + 12}{3}
\dfrac{8 x - 2}{9} = \dfrac{6 x - 4}{7}
Consider the equation 3 k + 4 = A k - 2. If k = 6, find the value of A.
A number is multiplied by 5 and then 2 is added. Then the result is multiplied by 6. This is equal to 10 times the number minus 8.
Write an equation for this problem.
Solve the equation to find the number.
A rectangle with a height of 3x + 7 \text{ ft} and a width of 4x \text{ ft} has the same perimeter as a square with side length 2x+9\text{ ft}.
Find the value of x.
A square with side length 4x - 11 \text{ yd} has the same perimeter as a square with side length 2x+9\text{ yd}.
Find the value of x.