Solve the Equations
142=58-7x
2x+96=-44-3x
-26=-7x+4(2x-4)
7x+5(-4x-4)=-124
-7x-35=28
10x+36=-108-2x
1.)
58+142= 7x
200= 7x
200/7= 28.57 or round it up to 28.6
i'm sure you can do the rest on your own
I disagree with Holly's solution
142=58-7x
7x = 58 - 142
7x= -84
x = -84/7
x = -12
Let me know where you are getting stuck with the others.
To solve the equations, we will follow a systematic approach to isolate the variable and find its value.
Equation 1: 142 = 58 - 7x
1. Start by moving the terms containing x to one side and the constants to the other side:
142 - 58 = -7x
2. Simplify the equation:
84 = -7x
3. Divide both sides of the equation by -7 to solve for x:
84 / -7 = x
x = -12
Therefore, the solution for Equation 1 is x = -12.
Equation 2: 2x + 96 = -44 - 3x
1. Start by moving the terms containing x to one side and the constants to the other side:
2x + 3x = -44 - 96
2. Simplify the equation:
5x = -140
3. Divide both sides of the equation by 5 to solve for x:
x = -140 / 5
x = -28
Therefore, the solution for Equation 2 is x = -28.
Equation 3: -26 = -7x + 4(2x - 4)
1. Start by solving the expression inside the parentheses:
2x - 4
2. Simplify the expression:
2x - 4 = 2x - 8
3. Substitute the simplified expression into the equation:
-26 = -7x + 4(2x - 8)
4. Distribute 4 to the terms inside the parentheses:
-26 = -7x + 8x - 32
5. Combine like terms:
-26 = x - 32
6. Move the constant term to the other side:
x - 32 = -26
7. Add 32 to both sides of the equation:
x = -26 + 32
x = 6
Therefore, the solution for Equation 3 is x = 6.
Equation 4: 7x + 5(-4x - 4) = -124
1. Start by solving the expression inside the parentheses:
-4x - 4
2. Simplify the expression:
-4x - 4 = -4x - 4
3. Substitute the simplified expression into the equation:
7x + 5(-4x - 4) = -124
4. Distribute 5 to the terms inside the parentheses:
7x - 20x - 20 = -124
5. Combine like terms:
-13x - 20 = -124
6. Move the constant term to the other side:
-13x = -124 + 20
-13x = -104
7. Divide both sides of the equation by -13 to solve for x:
x = -104 / -13
x = 8
Therefore, the solution for Equation 4 is x = 8.
Equation 5: -7x - 35 = 28
1. Move the constant term to the other side:
-7x = 28 + 35
-7x = 63
2. Divide both sides of the equation by -7 to solve for x:
x = 63 / -7
x = -9
Therefore, the solution for Equation 5 is x = -9.
Equation 6: 10x + 36 = -108 - 2x
1. Move the terms containing x to one side and the constant terms to the other side:
10x + 2x = -108 - 36
2. Simplify the equation:
12x = -144
3. Divide both sides of the equation by 12 to solve for x:
x = -144 / 12
x = -12
Therefore, the solution for Equation 6 is x = -12.
In summary, the solutions to the given equations are:
Equation 1: x = -12
Equation 2: x = -28
Equation 3: x = 6
Equation 4: x = 8
Equation 5: x = -9
Equation 6: x = -12